[{"publisher":"SIAM","publication":"SIAM Journal on Computing","title":"Partitioning space for range queries","publist_id":"2040","date_created":"2018-12-11T12:06:50Z","oa_version":"Published Version","extern":"1","abstract":[{"lang":"eng","text":"It is shown that, given a set S of n points in $R^3 $, one can always find three planes that form an eight-partition of S, that is, a partition where at most ${n / 8}$ points of S lie in each of the eight open regions. This theorem is used to define a data structure, called an octant tree, for representing any point set in $R^3 $. An octant tree for n points occupies $O(n)$ space and can be constructed in polynomial time. With this data structure and its refinements, efficient solutions to various range query problems in two and three dimensions can be obtained, including (1) half-space queries: find all points of S that lie to one side of any given plane; (2) polyhedron queries: find all points that lie inside (outside) any given polyhedron; and (3) circle queries in $R^2 $: for a planar set S, find all points that lie inside (outside) any given circle. The retrieval time for all these queries is $T(n) = O(n^\\alpha + m)$, where $\\alpha = 0.8988$ (or 0.8471 in case (3)), and m is the size of the output. This performance is the best currently known for linear-space data structures that can be deterministically constructed in polynomial time."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":18,"page":"371 - 384","year":"1989","_id":"4083","issue":"2","article_type":"original","status":"public","oa":1,"publication_identifier":{"eissn":["1095-7111"],"issn":["0097-5397"]},"citation":{"ama":"Yao F, Dobkin D, Edelsbrunner H, Paterson M. Partitioning space for range queries. <i>SIAM Journal on Computing</i>. 1989;18(2):371-384. doi:<a href=\"https://doi.org/10.1137/0218025\">10.1137/0218025</a>","mla":"Yao, F., et al. “Partitioning Space for Range Queries.” <i>SIAM Journal on Computing</i>, vol. 18, no. 2, SIAM, 1989, pp. 371–84, doi:<a href=\"https://doi.org/10.1137/0218025\">10.1137/0218025</a>.","ista":"Yao F, Dobkin D, Edelsbrunner H, Paterson M. 1989. Partitioning space for range queries. SIAM Journal on Computing. 18(2), 371–384.","short":"F. Yao, D. Dobkin, H. Edelsbrunner, M. Paterson, SIAM Journal on Computing 18 (1989) 371–384.","ieee":"F. Yao, D. Dobkin, H. Edelsbrunner, and M. Paterson, “Partitioning space for range queries,” <i>SIAM Journal on Computing</i>, vol. 18, no. 2. SIAM, pp. 371–384, 1989.","chicago":"Yao, F., David Dobkin, Herbert Edelsbrunner, and Michael Paterson. “Partitioning Space for Range Queries.” <i>SIAM Journal on Computing</i>. SIAM, 1989. <a href=\"https://doi.org/10.1137/0218025\">https://doi.org/10.1137/0218025</a>.","apa":"Yao, F., Dobkin, D., Edelsbrunner, H., &#38; Paterson, M. (1989). Partitioning space for range queries. <i>SIAM Journal on Computing</i>. SIAM. <a href=\"https://doi.org/10.1137/0218025\">https://doi.org/10.1137/0218025</a>"},"article_processing_charge":"No","date_updated":"2022-02-11T07:55:48Z","doi":"10.1137/0218025","author":[{"first_name":"F.","last_name":"Yao","full_name":"Yao, F."},{"first_name":"David","last_name":"Dobkin","full_name":"Dobkin, David"},{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833"},{"full_name":"Paterson, Michael","first_name":"Michael","last_name":"Paterson"}],"date_published":"1989-04-01T00:00:00Z","quality_controlled":"1","scopus_import":"1","publication_status":"published","intvolume":"        18","main_file_link":[{"open_access":"1","url":"https://epubs.siam.org/doi/10.1137/0218025"}],"day":"01","month":"04","language":[{"iso":"eng"}]},{"date_created":"2018-12-11T12:06:51Z","oa_version":"Published Version","publist_id":"2041","publication":"Theoretical Computer Science","title":"Testing the necklace condition for shortest tours and optimal factors in the plane","publisher":"Elsevier","abstract":[{"text":"A tour  of a finite set P of points is a necklace-tour if there are disks with the points in P as centers such that two disks intersect if and only if their centers are adjacent in . It has been observed by Sanders that a necklace-tour is an optimal traveling salesman tour.\r\n\r\nIn this paper, we present an algorithm that either reports that no necklace-tour exists or outputs a necklace-tour of a given set of n points in O(n2 log n) time. If a tour is given, then we can test in O(n2) time whether or not this tour is a necklace-tour. Both algorithms can be generalized to ƒ-factors of point sets in the plane. The complexity results rely on a combinatorial analysis of certain intersection graphs of disks defined for finite sets of points in the plane.","lang":"eng"}],"extern":"1","_id":"4084","year":"1989","volume":66,"page":"157 - 180","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","citation":{"apa":"Edelsbrunner, H., Rote, G., &#38; Welzl, E. (1989). Testing the necklace condition for shortest tours and optimal factors in the plane. <i>Theoretical Computer Science</i>. Elsevier. <a href=\"https://doi.org/10.1016/0304-3975(89)90133-3\">https://doi.org/10.1016/0304-3975(89)90133-3</a>","chicago":"Edelsbrunner, Herbert, Günter Rote, and Emo Welzl. “Testing the Necklace Condition for Shortest Tours and Optimal Factors in the Plane.” <i>Theoretical Computer Science</i>. Elsevier, 1989. <a href=\"https://doi.org/10.1016/0304-3975(89)90133-3\">https://doi.org/10.1016/0304-3975(89)90133-3</a>.","ieee":"H. Edelsbrunner, G. Rote, and E. Welzl, “Testing the necklace condition for shortest tours and optimal factors in the plane,” <i>Theoretical Computer Science</i>, vol. 66, no. 2. Elsevier, pp. 157–180, 1989.","mla":"Edelsbrunner, Herbert, et al. “Testing the Necklace Condition for Shortest Tours and Optimal Factors in the Plane.” <i>Theoretical Computer Science</i>, vol. 66, no. 2, Elsevier, 1989, pp. 157–80, doi:<a href=\"https://doi.org/10.1016/0304-3975(89)90133-3\">10.1016/0304-3975(89)90133-3</a>.","ista":"Edelsbrunner H, Rote G, Welzl E. 1989. Testing the necklace condition for shortest tours and optimal factors in the plane. Theoretical Computer Science. 66(2), 157–180.","short":"H. Edelsbrunner, G. Rote, E. Welzl, Theoretical Computer Science 66 (1989) 157–180.","ama":"Edelsbrunner H, Rote G, Welzl E. Testing the necklace condition for shortest tours and optimal factors in the plane. <i>Theoretical Computer Science</i>. 1989;66(2):157-180. doi:<a href=\"https://doi.org/10.1016/0304-3975(89)90133-3\">10.1016/0304-3975(89)90133-3</a>"},"publication_identifier":{"eissn":["1879-2294"],"issn":["0304-3975"]},"oa":1,"status":"public","issue":"2","article_type":"original","scopus_import":"1","quality_controlled":"1","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Rote","first_name":"Günter","full_name":"Rote, Günter"},{"full_name":"Welzl, Emo","last_name":"Welzl","first_name":"Emo"}],"date_published":"1989-08-01T00:00:00Z","article_processing_charge":"No","date_updated":"2022-02-11T11:15:43Z","doi":"10.1016/0304-3975(89)90133-3","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/0304397589901333?via%3Dihub","open_access":"1"}],"intvolume":"        66","publication_status":"published","month":"08","language":[{"iso":"eng"}],"day":"01"},{"publisher":"ACM","publication":"Proceedings of the 5th annual symposium on Computational geometry","title":"An acyclicity theorem for cell complexes in d dimension","publist_id":"2033","date_created":"2018-12-11T12:06:51Z","conference":{"name":"SCG: Symposium on Computational Geometry","end_date":"1989-06-07","location":"Saarbruchen, Germany","start_date":"1989-06-05"},"oa_version":"None","article_processing_charge":"No","doi":"10.1145/73833.73850","date_updated":"2022-02-10T10:56:49Z","author":[{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"}],"date_published":"1989-06-01T00:00:00Z","quality_controlled":"1","extern":"1","scopus_import":"1","abstract":[{"text":"Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 dimensions. For example, the Delaunay triangulation of a finite point set is such a cell complex. This paper shows that the in_front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic. This result has applications to hidden line/surface removal and other problems in computational geometry.","lang":"eng"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"conference","page":"145 - 151","year":"1989","publication_status":"published","main_file_link":[{"url":"https://dl.acm.org/doi/10.1145/73833.73850"}],"_id":"4085","day":"01","status":"public","month":"06","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-0-89791-318-8"]},"citation":{"ieee":"H. Edelsbrunner, “An acyclicity theorem for cell complexes in d dimension,” in <i>Proceedings of the 5th annual symposium on Computational geometry</i>, Saarbruchen, Germany, 1989, pp. 145–151.","chicago":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” In <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>, 145–51. ACM, 1989. <a href=\"https://doi.org/10.1145/73833.73850\">https://doi.org/10.1145/73833.73850</a>.","apa":"Edelsbrunner, H. (1989). An acyclicity theorem for cell complexes in d dimension. In <i>Proceedings of the 5th annual symposium on Computational geometry</i> (pp. 145–151). Saarbruchen, Germany: ACM. <a href=\"https://doi.org/10.1145/73833.73850\">https://doi.org/10.1145/73833.73850</a>","ama":"Edelsbrunner H. An acyclicity theorem for cell complexes in d dimension. In: <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>. ACM; 1989:145-151. doi:<a href=\"https://doi.org/10.1145/73833.73850\">10.1145/73833.73850</a>","ista":"Edelsbrunner H. 1989. An acyclicity theorem for cell complexes in d dimension. Proceedings of the 5th annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 145–151.","mla":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>, ACM, 1989, pp. 145–51, doi:<a href=\"https://doi.org/10.1145/73833.73850\">10.1145/73833.73850</a>.","short":"H. Edelsbrunner, in:, Proceedings of the 5th Annual Symposium on Computational Geometry, ACM, 1989, pp. 145–151."}},{"quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","doi":"10.1007/BF02187734","date_updated":"2022-02-10T11:08:12Z","date_published":"1989-11-01T00:00:00Z","author":[{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"}],"month":"11","language":[{"iso":"eng"}],"day":"01","publication_status":"published","main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/BF02187734"}],"intvolume":"         4","extern":"1","abstract":[{"text":"This note proves that the maximum number of faces (of any dimension) of the upper envelope of a set ofn possibly intersectingd-simplices ind+1 dimensions is (n d (n)). This is an extension of a result of Pach and Sharir [PS] who prove the same bound for the number ofd-dimensional faces of the upper envelope.","lang":"eng"}],"publist_id":"2034","date_created":"2018-12-11T12:06:51Z","oa_version":"Published Version","publisher":"Springer","publication":"Discrete & Computational Geometry","title":"The upper envelope of piecewise linear functions: Tight bounds on the number of faces ","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"citation":{"short":"H. Edelsbrunner, Discrete &#38; Computational Geometry 4 (1989) 337–343.","ista":"Edelsbrunner H. 1989. The upper envelope of piecewise linear functions: Tight bounds on the number of faces . Discrete &#38; Computational Geometry. 4(4), 337–343.","mla":"Edelsbrunner, Herbert. “The Upper Envelope of Piecewise Linear Functions: Tight Bounds on the Number of Faces .” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 4, Springer, 1989, pp. 337–43, doi:<a href=\"https://doi.org/10.1007/BF02187734\">10.1007/BF02187734</a>.","ama":"Edelsbrunner H. The upper envelope of piecewise linear functions: Tight bounds on the number of faces . <i>Discrete &#38; Computational Geometry</i>. 1989;4(4):337-343. doi:<a href=\"https://doi.org/10.1007/BF02187734\">10.1007/BF02187734</a>","apa":"Edelsbrunner, H. (1989). The upper envelope of piecewise linear functions: Tight bounds on the number of faces . <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/BF02187734\">https://doi.org/10.1007/BF02187734</a>","ieee":"H. Edelsbrunner, “The upper envelope of piecewise linear functions: Tight bounds on the number of faces ,” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 4. Springer, pp. 337–343, 1989.","chicago":"Edelsbrunner, Herbert. “The Upper Envelope of Piecewise Linear Functions: Tight Bounds on the Number of Faces .” <i>Discrete &#38; Computational Geometry</i>. Springer, 1989. <a href=\"https://doi.org/10.1007/BF02187734\">https://doi.org/10.1007/BF02187734</a>."},"issue":"4","article_type":"original","acknowledgement":"This work was supported by Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862 and by the National Science Foundation under Grant CCR-8714565. Research on the presented result was partially carried out while the author worked for the IBM T. J. Watson Research Center at Yorktown Height, New York, USA. \r\n","oa":1,"status":"public","year":"1989","_id":"4086","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":4,"page":"337 - 343"},{"conference":{"start_date":"1988-07-04","location":"Rome, Italy","end_date":"1988-07-08","name":"ISSAC: International Symposium on Symbolic and Algebraic Computation"},"author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","first_name":"Herbert"},{"full_name":"Preparata, Franco","first_name":"Franco","last_name":"Preparata"},{"full_name":"West, Douglas","first_name":"Douglas","last_name":"West"}],"date_published":"1989-09-20T00:00:00Z","article_processing_charge":"No","alternative_title":["LNCS"],"doi":"10.1007/3-540-51084-2_31","date_updated":"2022-02-10T13:27:41Z","scopus_import":"1","quality_controlled":"1","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-51084-2_31"}],"intvolume":"       358","publication_status":"published","day":"20","month":"09","language":[{"iso":"eng"}],"publication":" International Symposium on Symbolic and Algebraic Computation","title":"Tetrahedrizing point sets in three dimensions","publisher":"Springer","date_created":"2018-12-11T12:06:52Z","oa_version":"None","publist_id":"2035","abstract":[{"lang":"eng","text":"This paper offers combinatorial results on extremum problems concerning the number of tetrahedra in a tetrahedrization of n points in general position in three dimensions, i.e. such that no four points are coplanar. It also presents an algorithm that in O(nlog n) time constructs a tetrahedrization of a set of n points consisting of at most 3n–11 tetrahedra."}],"extern":"1","volume":358,"page":"315 - 331","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"conference","_id":"4087","year":"1989","acknowledgement":"Research of the first author is supported by Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862, the second author is supported by NSF Grant ECS 84-10902, and research of the third author is supported in part by ONR Grant N00014-85K0570 and by NSF Grant DMS 8504","status":"public","citation":{"mla":"Edelsbrunner, Herbert, et al. “Tetrahedrizing Point Sets in Three Dimensions.” <i> International Symposium on Symbolic and Algebraic Computation</i>, vol. 358, Springer, 1989, pp. 315–31, doi:<a href=\"https://doi.org/10.1007/3-540-51084-2_31\">10.1007/3-540-51084-2_31</a>.","ista":"Edelsbrunner H, Preparata F, West D. 1989. Tetrahedrizing point sets in three dimensions.  International Symposium on Symbolic and Algebraic Computation. ISSAC: International Symposium on Symbolic and Algebraic Computation, LNCS, vol. 358, 315–331.","short":"H. Edelsbrunner, F. Preparata, D. West, in:,  International Symposium on Symbolic and Algebraic Computation, Springer, 1989, pp. 315–331.","ama":"Edelsbrunner H, Preparata F, West D. Tetrahedrizing point sets in three dimensions. In: <i> International Symposium on Symbolic and Algebraic Computation</i>. Vol 358. Springer; 1989:315-331. doi:<a href=\"https://doi.org/10.1007/3-540-51084-2_31\">10.1007/3-540-51084-2_31</a>","apa":"Edelsbrunner, H., Preparata, F., &#38; West, D. (1989). Tetrahedrizing point sets in three dimensions. In <i> International Symposium on Symbolic and Algebraic Computation</i> (Vol. 358, pp. 315–331). Rome, Italy: Springer. <a href=\"https://doi.org/10.1007/3-540-51084-2_31\">https://doi.org/10.1007/3-540-51084-2_31</a>","ieee":"H. Edelsbrunner, F. Preparata, and D. West, “Tetrahedrizing point sets in three dimensions,” in <i> International Symposium on Symbolic and Algebraic Computation</i>, Rome, Italy, 1989, vol. 358, pp. 315–331.","chicago":"Edelsbrunner, Herbert, Franco Preparata, and Douglas West. “Tetrahedrizing Point Sets in Three Dimensions.” In <i> International Symposium on Symbolic and Algebraic Computation</i>, 358:315–31. Springer, 1989. <a href=\"https://doi.org/10.1007/3-540-51084-2_31\">https://doi.org/10.1007/3-540-51084-2_31</a>."}},{"day":"01","language":[{"iso":"eng"}],"month":"12","publication_status":"published","main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/BF02187742"}],"intvolume":"         4","doi":"10.1007/BF02187742","date_updated":"2022-02-10T15:03:48Z","article_processing_charge":"No","date_published":"1989-12-01T00:00:00Z","author":[{"last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"full_name":"Guibas, Leonidas","first_name":"Leonidas","last_name":"Guibas"},{"full_name":"Hershberger, John","last_name":"Hershberger","first_name":"John"},{"last_name":"Seidel","first_name":"Raimund","full_name":"Seidel, Raimund"},{"full_name":"Sharir, Micha","first_name":"Micha","last_name":"Sharir"},{"first_name":"Jack","last_name":"Snoeyink","full_name":"Snoeyink, Jack"},{"last_name":"Welzl","first_name":"Emo","full_name":"Welzl, Emo"}],"quality_controlled":"1","scopus_import":"1","article_type":"original","issue":"1","oa":1,"status":"public","acknowledgement":"The first author is pleased to acknowledge the support of Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862 and National Science Foundation Grant CCR-8714565. Work on this paper by the fifth author has been supported by Office of Naval Research Grant N00014-87-K-0129, by National Science Foundation Grant NSF-DCR-83-20085, by grants from the Digital Equipment Corporation, and the IBM Corporation, and by a research grant from the NCRD—the Israeli National Council for Research and Development. The sixth author was supported in part by a National Science Foundation Graduate Fellowship. This work was begun while the non-DEC authors were visiting at the DEC Systems Research Center.","publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"citation":{"mla":"Edelsbrunner, Herbert, et al. “Implicitly Representing Arrangements of Lines or Segments.” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1, Springer, 1989, pp. 433–66, doi:<a href=\"https://doi.org/10.1007/BF02187742\">10.1007/BF02187742</a>.","short":"H. Edelsbrunner, L. Guibas, J. Hershberger, R. Seidel, M. Sharir, J. Snoeyink, E. Welzl, Discrete &#38; Computational Geometry 4 (1989) 433–466.","ista":"Edelsbrunner H, Guibas L, Hershberger J, Seidel R, Sharir M, Snoeyink J, Welzl E. 1989. Implicitly representing arrangements of lines or segments. Discrete &#38; Computational Geometry. 4(1), 433–466.","ama":"Edelsbrunner H, Guibas L, Hershberger J, et al. Implicitly representing arrangements of lines or segments. <i>Discrete &#38; Computational Geometry</i>. 1989;4(1):433-466. doi:<a href=\"https://doi.org/10.1007/BF02187742\">10.1007/BF02187742</a>","apa":"Edelsbrunner, H., Guibas, L., Hershberger, J., Seidel, R., Sharir, M., Snoeyink, J., &#38; Welzl, E. (1989). Implicitly representing arrangements of lines or segments. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/BF02187742\">https://doi.org/10.1007/BF02187742</a>","chicago":"Edelsbrunner, Herbert, Leonidas Guibas, John Hershberger, Raimund Seidel, Micha Sharir, Jack Snoeyink, and Emo Welzl. “Implicitly Representing Arrangements of Lines or Segments.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1989. <a href=\"https://doi.org/10.1007/BF02187742\">https://doi.org/10.1007/BF02187742</a>.","ieee":"H. Edelsbrunner <i>et al.</i>, “Implicitly representing arrangements of lines or segments,” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1. Springer, pp. 433–466, 1989."},"type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","page":"433 - 466","volume":4,"year":"1989","_id":"4088","extern":"1","abstract":[{"lang":"eng","text":"Anarrangement ofn lines (or line segments) in the plane is the partition of the plane defined by these objects. Such an arrangement consists ofO(n 2) regions, calledfaces. In this paper we study the problem of calculating and storing arrangementsimplicitly, using subquadratic space and preprocessing, so that, given any query pointp, we can calculate efficiently the face containingp. First, we consider the case of lines and show that with (n) space1 and (n 3/2) preprocessing time, we can answer face queries in (n)+O(K) time, whereK is the output size. (The query time is achieved with high probability.) In the process, we solve three interesting subproblems: (1) given a set ofn points, find a straight-edge spanning tree of these points such that any line intersects only a few edges of the tree, (2) given a simple polygonal path , form a data structure from which we can find the convex hull of any subpath of quickly, and (3) given a set of points, organize them so that the convex hull of their subset lying above a query line can be found quickly. Second, using random sampling, we give a tradeoff between increasing space and decreasing query time. Third, we extend our structure to report faces in an arrangement of line segments in (n 1/3)+O(K) time, given(n 4/3) space and (n 5/3) preprocessing time. Lastly, we note that our techniques allow us to computem faces in an arrangement ofn lines in time (m 2/3 n 2/3+n), which is nearly optimal."}],"publisher":"Springer","title":"Implicitly representing arrangements of lines or segments","publication":"Discrete & Computational Geometry","publist_id":"2036","oa_version":"Published Version","date_created":"2018-12-11T12:06:52Z"},{"page":"523 - 539","volume":4,"type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4089","year":"1989","acknowledgement":"The first author is pleased to acknowledge the support of Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862 and National Science Foundation Grant CCR-8714565. Work on this paper by the fourth and seventh authors has been supported by Office of Naval Research Grant N00014-87-K-0129, by National Science Foundation Grant NSF-DCR-83-20085, and by grants from the Digital Equipment Corporation and the IBM Corporation. The seventh author in addition wishes to acknowledge support by a research grant from the NCRD—the Israeli National Council for Research and Development. The fifth author would like to acknowledge support in part by NSF grant DMS-8501947. Finally, the eighth author was supported in part by a National Science Foundation Graduate Fellowship.","oa":1,"status":"public","article_type":"original","issue":"1","citation":{"mla":"Edelsbrunner, Herbert, et al. “On Arrangements of Jordan Arcs with Three Intersections per Pair.” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1, Springer, 1989, pp. 523–39, doi:<a href=\"https://doi.org/10.1007/BF02187745\">10.1007/BF02187745</a>.","short":"H. Edelsbrunner, L. Guibas, J. Hershberger, J. Pach, R. Pollack, R. Seidel, M. Sharir, J. Snoeyink, Discrete &#38; Computational Geometry 4 (1989) 523–539.","ista":"Edelsbrunner H, Guibas L, Hershberger J, Pach J, Pollack R, Seidel R, Sharir M, Snoeyink J. 1989. On arrangements of Jordan arcs with three intersections per pair. Discrete &#38; Computational Geometry. 4(1), 523–539.","ama":"Edelsbrunner H, Guibas L, Hershberger J, et al. On arrangements of Jordan arcs with three intersections per pair. <i>Discrete &#38; Computational Geometry</i>. 1989;4(1):523-539. doi:<a href=\"https://doi.org/10.1007/BF02187745\">10.1007/BF02187745</a>","apa":"Edelsbrunner, H., Guibas, L., Hershberger, J., Pach, J., Pollack, R., Seidel, R., … Snoeyink, J. (1989). On arrangements of Jordan arcs with three intersections per pair. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/BF02187745\">https://doi.org/10.1007/BF02187745</a>","chicago":"Edelsbrunner, Herbert, Leonidas Guibas, John Hershberger, János Pach, Richard Pollack, Raimund Seidel, Micha Sharir, and Jack Snoeyink. “On Arrangements of Jordan Arcs with Three Intersections per Pair.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1989. <a href=\"https://doi.org/10.1007/BF02187745\">https://doi.org/10.1007/BF02187745</a>.","ieee":"H. Edelsbrunner <i>et al.</i>, “On arrangements of Jordan arcs with three intersections per pair,” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1. Springer, pp. 523–539, 1989."},"publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"title":"On arrangements of Jordan arcs with three intersections per pair","publication":"Discrete & Computational Geometry","publisher":"Springer","oa_version":"Published Version","date_created":"2018-12-11T12:06:52Z","publist_id":"2037","abstract":[{"lang":"eng","text":"Motivated by a number of motion-planning questions, we investigate in this paper some general topological and combinatorial properties of the boundary of the union ofn regions bounded by Jordan curves in the plane. We show that, under some fairly weak conditions, a simply connected surface can be constructed that exactly covers this union and whose boundary has combinatorial complexity that is nearly linear, even though the covered region can have quadratic complexity. In the case where our regions are delimited by Jordan acrs in the upper halfplane starting and ending on thex-axis such that any pair of arcs intersect in at most three points, we prove that the total number of subarcs that appear on the boundary of the union is only (n(n)), where(n) is the extremely slowly growing functional inverse of Ackermann's function."}],"extern":"1","intvolume":"         4","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02187745","open_access":"1"}],"publication_status":"published","day":"01","language":[{"iso":"eng"}],"month":"12","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Guibas, Leonidas","last_name":"Guibas","first_name":"Leonidas"},{"last_name":"Hershberger","first_name":"John","full_name":"Hershberger, John"},{"full_name":"Pach, János","first_name":"János","last_name":"Pach"},{"full_name":"Pollack, Richard","last_name":"Pollack","first_name":"Richard"},{"full_name":"Seidel, Raimund","first_name":"Raimund","last_name":"Seidel"},{"full_name":"Sharir, Micha","first_name":"Micha","last_name":"Sharir"},{"first_name":"Jack","last_name":"Snoeyink","full_name":"Snoeyink, Jack"}],"date_published":"1989-12-01T00:00:00Z","doi":"10.1007/BF02187745","date_updated":"2022-02-10T15:40:04Z","article_processing_charge":"No","scopus_import":"1","quality_controlled":"1"},{"intvolume":"       372","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/BFb0035760"}],"publication_status":"published","day":"24","language":[{"iso":"eng"}],"month":"07","conference":{"end_date":"1989-07-15","name":"ICALP: International Colloquium on Automata, Languages, and Programming","start_date":"1989-07-11","location":"Stresa, Italy"},"date_published":"1989-07-24T00:00:00Z","author":[{"full_name":"Chazelle, Bernard","first_name":"Bernard","last_name":"Chazelle"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"first_name":"Leonidas","last_name":"Guibas","full_name":"Guibas, Leonidas"},{"full_name":"Sharir, Micha","last_name":"Sharir","first_name":"Micha"}],"date_updated":"2022-02-10T10:06:23Z","doi":"10.1007/BFb0035760","alternative_title":["LNCS"],"article_processing_charge":"No","scopus_import":"1","quality_controlled":"1","page":"179 - 193","volume":372,"type":"conference","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4092","year":"1989","status":"public","acknowledgement":"The support of the Digital Systems Research center and the Digital Paris Research laboratory, where much of this research was carried out, are gratefully acknowledged. Work on this paper by Bernard Chazelle has been supported by NSF Grant CCI~-87-00917. Work on this paper by Herbert Edelsbrunner has been supported by NSF Grant CCR-87-14565. Work on this paper by Micha Sharir has been supported by ONR Grant N00014-87-K-0129, by NSF Grant DCP~-83-20085, and by grants from the U.S.-Israeli Binational Science Foundation, the NCRD - the Israeli National Council for Research and Development, and the EMET Fund of the Israeli Academy of Sciences. ","citation":{"apa":"Chazelle, B., Edelsbrunner, H., Guibas, L., &#38; Sharir, M. (1989). A singly exponential stratification scheme for real semi-algebraic varieties and its applications. In <i>16th International Colloquium on Automata, Languages, and Programming</i> (Vol. 372, pp. 179–193). Stresa, Italy: Springer. <a href=\"https://doi.org/10.1007/BFb0035760\">https://doi.org/10.1007/BFb0035760</a>","ieee":"B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Sharir, “A singly exponential stratification scheme for real semi-algebraic varieties and its applications,” in <i>16th International Colloquium on Automata, Languages, and Programming</i>, Stresa, Italy, 1989, vol. 372, pp. 179–193.","chicago":"Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, and Micha Sharir. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” In <i>16th International Colloquium on Automata, Languages, and Programming</i>, 372:179–93. Springer, 1989. <a href=\"https://doi.org/10.1007/BFb0035760\">https://doi.org/10.1007/BFb0035760</a>.","ista":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M. 1989. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. 16th International Colloquium on Automata, Languages, and Programming. ICALP: International Colloquium on Automata, Languages, and Programming, LNCS, vol. 372, 179–193.","short":"B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, in:, 16th International Colloquium on Automata, Languages, and Programming, Springer, 1989, pp. 179–193.","mla":"Chazelle, Bernard, et al. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” <i>16th International Colloquium on Automata, Languages, and Programming</i>, vol. 372, Springer, 1989, pp. 179–93, doi:<a href=\"https://doi.org/10.1007/BFb0035760\">10.1007/BFb0035760</a>.","ama":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. In: <i>16th International Colloquium on Automata, Languages, and Programming</i>. Vol 372. Springer; 1989:179-193. doi:<a href=\"https://doi.org/10.1007/BFb0035760\">10.1007/BFb0035760</a>"},"title":"A singly exponential stratification scheme for real semi-algebraic varieties and its applications","publication":"16th International Colloquium on Automata, Languages, and Programming","publisher":"Springer","oa_version":"None","date_created":"2018-12-11T12:06:53Z","publist_id":"2031","extern":"1"},{"main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02187720"}],"intvolume":"         4","publication_status":"published","month":"03","language":[{"iso":"eng"}],"day":"01","quality_controlled":"1","author":[{"full_name":"Chazelle, Bernard","first_name":"Bernard","last_name":"Chazelle"},{"last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"first_name":"Leonidas","last_name":"Guibas","full_name":"Guibas, Leonidas"}],"date_published":"1989-03-01T00:00:00Z","article_processing_charge":"No","date_updated":"2022-02-10T10:25:57Z","doi":"10.1007/BF02187720","_id":"4093","year":"1989","volume":4,"page":"139 - 181","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","citation":{"ama":"Chazelle B, Edelsbrunner H, Guibas L. The complexity of cutting complexes. <i>Discrete &#38; Computational Geometry</i>. 1989;4(1):139-181. doi:<a href=\"https://doi.org/10.1007/BF02187720\">10.1007/BF02187720</a>","short":"B. Chazelle, H. Edelsbrunner, L. Guibas, Discrete &#38; Computational Geometry 4 (1989) 139–181.","ista":"Chazelle B, Edelsbrunner H, Guibas L. 1989. The complexity of cutting complexes. Discrete &#38; Computational Geometry. 4(1), 139–181.","mla":"Chazelle, Bernard, et al. “The Complexity of Cutting Complexes.” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1, Springer, 1989, pp. 139–81, doi:<a href=\"https://doi.org/10.1007/BF02187720\">10.1007/BF02187720</a>.","ieee":"B. Chazelle, H. Edelsbrunner, and L. Guibas, “The complexity of cutting complexes,” <i>Discrete &#38; Computational Geometry</i>, vol. 4, no. 1. Springer, pp. 139–181, 1989.","chicago":"Chazelle, Bernard, Herbert Edelsbrunner, and Leonidas Guibas. “The Complexity of Cutting Complexes.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1989. <a href=\"https://doi.org/10.1007/BF02187720\">https://doi.org/10.1007/BF02187720</a>.","apa":"Chazelle, B., Edelsbrunner, H., &#38; Guibas, L. (1989). The complexity of cutting complexes. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/BF02187720\">https://doi.org/10.1007/BF02187720</a>"},"publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"status":"public","acknowledgement":"Bernard Chazelle wishes to acknowledge the National Science Foundation for supporting this research in part under Grant No. MCS83-03925. Herbert Edelsbrunner is pleased to acknowledge the support of Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862. We wish to thank J. Pach and E. Szemeredi for valuable discussions on several\r\nof the problems studied in this paper.","issue":"1","date_created":"2018-12-11T12:06:54Z","oa_version":"None","publist_id":"2032","publication":"Discrete & Computational Geometry","title":"The complexity of cutting complexes","publisher":"Springer","abstract":[{"lang":"eng","text":"This paper investigates the combinatorial and computational aspects of certain extremal geometric problems in two and three dimensions. Specifically, we examine the problem of intersecting a convex subdivision with a line in order to maximize the number of intersections. A similar problem is to maximize the number of intersected facets in a cross-section of a three-dimensional convex polytope. Related problems concern maximum chains in certain families of posets defined over the regions of a convex subdivision. In most cases we are able to prove sharp bounds on the asymptotic behavior of the corresponding extremal functions. We also describe polynomial algorithms for all the problems discussed."}],"extern":"1"},{"publication_status":"published","main_file_link":[{"url":"http://www.jstor.org/stable/2409452"}],"intvolume":"        43","day":"01","pmid":1,"month":"11","language":[{"iso":"eng"}],"article_processing_charge":"No","date_updated":"2022-02-10T09:44:53Z","doi":"10.1111/j.1558-5646.1989.tb02587.x ","date_published":"1989-11-01T00:00:00Z","author":[{"first_name":"Montgomery","last_name":"Slatkin","full_name":"Slatkin, Montgomery"},{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"}],"quality_controlled":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":43,"page":"1349 - 1368","year":"1989","_id":"4309","issue":"7","article_type":"original","external_id":{"pmid":["28564250 "]},"status":"public","acknowledgement":"This research has been supported in partv by grant 85-00258 from the National Science Foundation and by grants GR/C/9 1529 and GR/E/08507 from the Science and Engineering Research Council. We thank C. C. Cockerham and B. S. Weir for helpful discussions of this topic, C. Wehrhahn for bringing his method to our attention and for providing us with a copy of his program for estimating Nm, and J. Coyne, M. Nei, B. S. Weir, and an anonymous referee for comments on an earlier draft of this paper.","publication_identifier":{"eissn":["1558-5646"],"issn":["0014-3820"]},"citation":{"apa":"Slatkin, M., &#38; Barton, N. H. (1989). A comparison of three methods for estimating average levels of gene flow. <i>Evolution; International Journal of Organic Evolution</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1111/j.1558-5646.1989.tb02587.x \">https://doi.org/10.1111/j.1558-5646.1989.tb02587.x </a>","ieee":"M. Slatkin and N. H. Barton, “A comparison of three methods for estimating average levels of gene flow,” <i>Evolution; International Journal of Organic Evolution</i>, vol. 43, no. 7. Wiley-Blackwell, pp. 1349–1368, 1989.","chicago":"Slatkin, Montgomery, and Nicholas H Barton. “A Comparison of Three Methods for Estimating Average Levels of Gene Flow.” <i>Evolution; International Journal of Organic Evolution</i>. Wiley-Blackwell, 1989. <a href=\"https://doi.org/10.1111/j.1558-5646.1989.tb02587.x \">https://doi.org/10.1111/j.1558-5646.1989.tb02587.x </a>.","ista":"Slatkin M, Barton NH. 1989. A comparison of three methods for estimating average levels of gene flow. Evolution; International Journal of Organic Evolution. 43(7), 1349–1368.","mla":"Slatkin, Montgomery, and Nicholas H. Barton. “A Comparison of Three Methods for Estimating Average Levels of Gene Flow.” <i>Evolution; International Journal of Organic Evolution</i>, vol. 43, no. 7, Wiley-Blackwell, 1989, pp. 1349–68, doi:<a href=\"https://doi.org/10.1111/j.1558-5646.1989.tb02587.x \">10.1111/j.1558-5646.1989.tb02587.x </a>.","short":"M. Slatkin, N.H. Barton, Evolution; International Journal of Organic Evolution 43 (1989) 1349–1368.","ama":"Slatkin M, Barton NH. A comparison of three methods for estimating average levels of gene flow. <i>Evolution; International Journal of Organic Evolution</i>. 1989;43(7):1349-1368. doi:<a href=\"https://doi.org/10.1111/j.1558-5646.1989.tb02587.x \">10.1111/j.1558-5646.1989.tb02587.x </a>"},"publisher":"Wiley-Blackwell","publication":"Evolution; International Journal of Organic Evolution","title":"A comparison of three methods for estimating average levels of gene flow","publist_id":"1751","date_created":"2018-12-11T12:08:10Z","oa_version":"None","extern":"1","abstract":[{"text":"Three methods for estimating the average level of gene flow in natural population are discussed and compared. The three methods are FST, rare alleles, and maximum likelihood. All three methods yield estimates of the combination of parameters (the number of migrants [Nm] in a demic model or the neighborhood size [4πDσ2] in a continuum model) that determines the relative importance of gene flow and genetic drift. We review the theory underlying these methods and derive new analytic results for the expectation of FST in stepping-stone and continuum models when small sets of samples are taken. We also compare the effectiveness of the different methods using a variety of simulated data. We found that the FST and rare-alleles methods yield comparable estimates under a wide variety of conditions when the population being sampled is demographically stable. They are roughly equally sensitive to selection and to variation in population structure, and they approach their equilibrium values at approximately the same rate. We found that two different maximum-likelihood methods tend to yield biased estimates when relatively small numbers of locations are sampled but more accurate estimates when larger numbers are sampled. Our conclusion is that, although FST and rare-alleles methods are expected to be equally effective in analyzing ideal data, practical problems in estimating the frequencies of rare alleles in electrophoretic studies suggest that FST is likely to be more useful under realistic conditions.","lang":"eng"}]},{"status":"public","acknowledgement":"We thank G. E. Bradford, B. Charlesworth, J. A. Coyne, D. Currie, H. Dingle, J. H. Gillespie, A. Gimelfarb, W. G. Hill, A. A. Hoffmann, K. S. Jackson, J. S. Jones, A. Liebowiz, T. Mitchell-aids , T. A. Mousseau, J. Peck, T. Prout, B. Riska, D. A. Roff, H. B. Shaffer, and M. Slatkin for helpful discussions and comments on earlier drafts. Our research is supported\r\nin part by grants from the Science and Engineering Research Council, the National Science Foundation (BSR-8866548), and the Institute of Theoretical Dynamics at University of California, Davis.","day":"01","article_type":"original","citation":{"apa":"Barton, N. H., &#38; Turelli, M. (1989). Evolutionary quantitative genetics: how little do we know? <i>Annual Review of Genetics</i>. Annual Reviews. <a href=\"https://doi.org/10.1146/annurev.ge.23.120189.002005\">https://doi.org/10.1146/annurev.ge.23.120189.002005</a>","chicago":"Barton, Nicholas H, and Michael Turelli. “Evolutionary Quantitative Genetics: How Little Do We Know?” <i>Annual Review of Genetics</i>. Annual Reviews, 1989. <a href=\"https://doi.org/10.1146/annurev.ge.23.120189.002005\">https://doi.org/10.1146/annurev.ge.23.120189.002005</a>.","ieee":"N. H. Barton and M. Turelli, “Evolutionary quantitative genetics: how little do we know?,” <i>Annual Review of Genetics</i>, vol. 23. Annual Reviews, pp. 337–370, 1989.","short":"N.H. Barton, M. Turelli, Annual Review of Genetics 23 (1989) 337–370.","mla":"Barton, Nicholas H., and Michael Turelli. “Evolutionary Quantitative Genetics: How Little Do We Know?” <i>Annual Review of Genetics</i>, vol. 23, Annual Reviews, 1989, pp. 337–70, doi:<a href=\"https://doi.org/10.1146/annurev.ge.23.120189.002005\">10.1146/annurev.ge.23.120189.002005</a>.","ista":"Barton NH, Turelli M. 1989. Evolutionary quantitative genetics: how little do we know? Annual Review of Genetics. 23, 337–370.","ama":"Barton NH, Turelli M. Evolutionary quantitative genetics: how little do we know? <i>Annual Review of Genetics</i>. 1989;23:337-370. doi:<a href=\"https://doi.org/10.1146/annurev.ge.23.120189.002005\">10.1146/annurev.ge.23.120189.002005</a>"},"month":"01","publication_identifier":{"eissn":["1545-2948"],"issn":["0066-4197"]},"language":[{"iso":"eng"}],"volume":23,"page":"337 - 370","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","main_file_link":[{"url":"https://www.annualreviews.org/doi/10.1146/annurev.ge.23.120189.002005"}],"_id":"4312","intvolume":"        23","year":"1989","publication_status":"published","author":[{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton","first_name":"Nicholas H"},{"first_name":"Michael","last_name":"Turelli","full_name":"Turelli, Michael"}],"date_published":"1989-01-01T00:00:00Z","article_processing_charge":"No","doi":"10.1146/annurev.ge.23.120189.002005","date_updated":"2022-02-09T16:01:46Z","quality_controlled":"1","extern":"1","publication":"Annual Review of Genetics","title":"Evolutionary quantitative genetics: how little do we know?","publisher":"Annual Reviews","date_created":"2018-12-11T12:08:11Z","oa_version":"None","publist_id":"1744"},{"publist_id":"1742","date_created":"2018-12-11T12:08:12Z","oa_version":"None","publisher":"Sinauer Press","publication":"Speciation and its consequences","title":"Founder effect speciation","extern":"1","article_processing_charge":"No","date_updated":"2022-02-09T15:03:06Z","author":[{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","last_name":"Barton","orcid":"0000-0002-8548-5240"}],"date_published":"1989-01-01T00:00:00Z","editor":[{"last_name":"Otte","first_name":"Daniel","full_name":"Otte, Daniel"},{"last_name":"Endler","first_name":"John","full_name":"Endler, John"}],"year":"1989","publication_status":"published","main_file_link":[{"url":"https://www.researchgate.net/publication/237005503_Speciation_and_Its_Consequences"}],"_id":"4313","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"book_chapter","month":"01","publication_identifier":{"isbn":["‎ 978-0878936571"]},"language":[{"iso":"eng"}],"citation":{"ieee":"N. H. Barton, “Founder effect speciation,” in <i>Speciation and its consequences</i>, D. Otte and J. Endler, Eds. Sinauer Press, 1989.","chicago":"Barton, Nicholas H. “Founder Effect Speciation.” In <i>Speciation and Its Consequences</i>, edited by Daniel Otte and John Endler. Sinauer Press, 1989.","apa":"Barton, N. H. (1989). Founder effect speciation. In D. Otte &#38; J. Endler (Eds.), <i>Speciation and its consequences</i>. Sinauer Press.","ama":"Barton NH. Founder effect speciation. In: Otte D, Endler J, eds. <i>Speciation and Its Consequences</i>. Sinauer Press; 1989.","mla":"Barton, Nicholas H. “Founder Effect Speciation.” <i>Speciation and Its Consequences</i>, edited by Daniel Otte and John Endler, Sinauer Press, 1989.","ista":"Barton NH. 1989.Founder effect speciation. In: Speciation and its consequences. .","short":"N.H. Barton, in:, D. Otte, J. Endler (Eds.), Speciation and Its Consequences, Sinauer Press, 1989."},"day":"01","status":"public"},{"publist_id":"1741","date_created":"2018-12-11T12:08:12Z","oa_version":"None","publisher":"Cambridge University Press","publication":"Genetical Research","title":"The divergence of a polygenic system under stabilising selection, mutation and drift","extern":"1","abstract":[{"text":"Polygenic variation can be maintained by a balance between mutation and stabilizing selection. When the alleles responsible for variation are rare, many classes of equilibria may be stable. The rate at which drift causes shifts between equilibria is investigated by integrating the gene frequency distribution W2N II (pq)4N mu-1. This integral can be found exactly, by numerical integration, or can be approximated by assuming that the full distribution of allele frequencies is approximately Gaussian. These methods are checked against simulations. Over a wide range of population sizes, drift will keep the population near an equilibrium which minimizes the genetic variance and the deviation from the selective optimum. Shifts between equilibria in this class occur at an appreciable rate if the product of population size and selection on each locus is small (Ns alpha 2 less than 10). The Gaussian approximation is accurate even when the underlying distribution is strongly skewed. Reproductive isolation evolves as populations shift to new combinations of alleles: however, this process is slow, approaching the neutral rate (approximately mu) in small populations.","lang":"eng"}],"year":"1989","_id":"4314","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":54,"page":"59 - 78","publication_identifier":{"eissn":["1469-5073"],"issn":["0016-6723"]},"citation":{"ama":"Barton NH. The divergence of a polygenic system under stabilising selection, mutation and drift. <i>Genetical Research</i>. 1989;54(1):59-78. doi:<a href=\"https://doi.org/10.1017/S0016672300028378\">10.1017/S0016672300028378</a>","ista":"Barton NH. 1989. The divergence of a polygenic system under stabilising selection, mutation and drift. Genetical Research. 54(1), 59–78.","mla":"Barton, Nicholas H. “The Divergence of a Polygenic System under Stabilising Selection, Mutation and Drift.” <i>Genetical Research</i>, vol. 54, no. 1, Cambridge University Press, 1989, pp. 59–78, doi:<a href=\"https://doi.org/10.1017/S0016672300028378\">10.1017/S0016672300028378</a>.","short":"N.H. Barton, Genetical Research 54 (1989) 59–78.","ieee":"N. H. Barton, “The divergence of a polygenic system under stabilising selection, mutation and drift,” <i>Genetical Research</i>, vol. 54, no. 1. Cambridge University Press, pp. 59–78, 1989.","chicago":"Barton, Nicholas H. “The Divergence of a Polygenic System under Stabilising Selection, Mutation and Drift.” <i>Genetical Research</i>. Cambridge University Press, 1989. <a href=\"https://doi.org/10.1017/S0016672300028378\">https://doi.org/10.1017/S0016672300028378</a>.","apa":"Barton, N. H. (1989). The divergence of a polygenic system under stabilising selection, mutation and drift. <i>Genetical Research</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S0016672300028378\">https://doi.org/10.1017/S0016672300028378</a>"},"issue":"1","external_id":{"pmid":["2806907"]},"article_type":"original","status":"public","quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","date_updated":"2022-02-09T14:18:28Z","doi":"10.1017/S0016672300028378","author":[{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"}],"date_published":"1989-08-01T00:00:00Z","publication_status":"published","intvolume":"        54","main_file_link":[{"url":"https://www.cambridge.org/core/journals/genetics-research/article/divergence-of-a-polygenic-system-subject-to-stabilizing-selection-mutation-and-drift/95DF5B589A5C32376F1AAEE99F3200D8"}],"month":"08","language":[{"iso":"eng"}],"day":"01","pmid":1},{"day":"13","pmid":1,"language":[{"iso":"eng"}],"month":"09","publication_status":"published","intvolume":"       460","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/000689938891219X?via%3Dihub"}],"date_updated":"2022-02-08T14:38:35Z","doi":"10.1016/0006-8993(88)91219-X","article_processing_charge":"No","author":[{"full_name":"Ino, Tadashi","first_name":"Tadashi","last_name":"Ino"},{"full_name":"Itoh, Kazuo","last_name":"Itoh","first_name":"Kazuo"},{"full_name":"Kamiya, Hiroto","first_name":"Hiroto","last_name":"Kamiya"},{"id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Shigemoto, Ryuichi","last_name":"Shigemoto","orcid":"0000-0001-8761-9444","first_name":"Ryuichi"},{"full_name":"Akiguchi, Ichiro","first_name":"Ichiro","last_name":"Akiguchi"},{"full_name":"Mizuno, Noboru","last_name":"Mizuno","first_name":"Noboru"}],"date_published":"1988-09-13T00:00:00Z","quality_controlled":"1","scopus_import":"1","article_type":"original","external_id":{"pmid":["2464404 "]},"issue":"1","acknowledgement":"The photographic help of Mr. Akira Uesugi and Mr. Kenichi Uesugi, and the support of the Niwa Medical Research \r\nFoundation are gratefully acknowledged. This work has also been supported in part by Grant-in-Aid for Scientific Research No. 62480098 from the Ministry of Education, Science and Culture of Japan.","status":"public","publication_identifier":{"eissn":["1872-6240"],"issn":["0006-8993"]},"citation":{"short":"T. Ino, K. Itoh, H. Kamiya, R. Shigemoto, I. Akiguchi, N. Mizuno, Brain Research 460 (1988) 173–177.","ista":"Ino T, Itoh K, Kamiya H, Shigemoto R, Akiguchi I, Mizuno N. 1988. Direct projections of non-pyramidal neurons of Ammon’s horn to the supramammillary region in the cat. Brain Research. 460(1), 173–177.","mla":"Ino, Tadashi, et al. “Direct Projections of Non-Pyramidal Neurons of Ammon’s Horn to the Supramammillary Region in the Cat.” <i>Brain Research</i>, vol. 460, no. 1, Elsevier, 1988, pp. 173–77, doi:<a href=\"https://doi.org/10.1016/0006-8993(88)91219-X\">10.1016/0006-8993(88)91219-X</a>.","ama":"Ino T, Itoh K, Kamiya H, Shigemoto R, Akiguchi I, Mizuno N. Direct projections of non-pyramidal neurons of Ammon’s horn to the supramammillary region in the cat. <i>Brain Research</i>. 1988;460(1):173-177. doi:<a href=\"https://doi.org/10.1016/0006-8993(88)91219-X\">10.1016/0006-8993(88)91219-X</a>","apa":"Ino, T., Itoh, K., Kamiya, H., Shigemoto, R., Akiguchi, I., &#38; Mizuno, N. (1988). Direct projections of non-pyramidal neurons of Ammon’s horn to the supramammillary region in the cat. <i>Brain Research</i>. Elsevier. <a href=\"https://doi.org/10.1016/0006-8993(88)91219-X\">https://doi.org/10.1016/0006-8993(88)91219-X</a>","chicago":"Ino, Tadashi, Kazuo Itoh, Hiroto Kamiya, Ryuichi Shigemoto, Ichiro Akiguchi, and Noboru Mizuno. “Direct Projections of Non-Pyramidal Neurons of Ammon’s Horn to the Supramammillary Region in the Cat.” <i>Brain Research</i>. Elsevier, 1988. <a href=\"https://doi.org/10.1016/0006-8993(88)91219-X\">https://doi.org/10.1016/0006-8993(88)91219-X</a>.","ieee":"T. Ino, K. Itoh, H. Kamiya, R. Shigemoto, I. Akiguchi, and N. Mizuno, “Direct projections of non-pyramidal neurons of Ammon’s horn to the supramammillary region in the cat,” <i>Brain Research</i>, vol. 460, no. 1. Elsevier, pp. 173–177, 1988."},"type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","page":"173 - 177","volume":460,"year":"1988","_id":"2522","extern":"1","abstract":[{"text":"Non-pyramidal neurons in cat Ammon's horn were shown to send their axons to the supramammillary regions (SMR), i.e. the supramammillary nucleus and its vicinities including the supramammillary nucleus and the lateral, posterior and dorsal hypothalamic areas: wheat germ agglutinin-horseradish peroxidase (WGA-HRP) injection into Ammon's horn resulted in labeling of presumed axon terminals in the SMR; and after injecting HRP into the SMR, retrogradely labeled non-pyramidal neurons were seen in Ammon's horn.","lang":"eng"}],"publisher":"Elsevier","title":"Direct projections of non-pyramidal neurons of Ammon's horn to the supramammillary region in the cat","publication":"Brain Research","publist_id":"4376","oa_version":"None","date_created":"2018-12-11T11:58:10Z"},{"month":"06","language":[{"iso":"eng"}],"day":"17","pmid":1,"publication_status":"published","intvolume":"        89","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/0304394088904739?via%3Dihub"}],"quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","doi":"10.1016/0304-3940(88)90473-9","date_updated":"2022-02-08T15:20:07Z","author":[{"first_name":"Noboru","last_name":"Mizuno","full_name":"Mizuno, Noboru"},{"first_name":"Teizo","last_name":"Ueyama","full_name":"Ueyama, Teizo"},{"full_name":"Itoh, Kazuo","last_name":"Itoh","first_name":"Kazuo"},{"first_name":"Takahiro","last_name":"Satoda","full_name":"Satoda, Takahiro"},{"full_name":"Tashiro, Takashi","last_name":"Tashiro","first_name":"Takashi"},{"first_name":"Ryuichi","last_name":"Shigemoto","orcid":"0000-0001-8761-9444","full_name":"Shigemoto, Ryuichi","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"}],"date_published":"1988-06-17T00:00:00Z","publication_identifier":{"eissn":["1872-7972"],"issn":["0304-3940"]},"citation":{"ieee":"N. Mizuno, T. Ueyama, K. Itoh, T. Satoda, T. Tashiro, and R. Shigemoto, “Direct projections from the subthalamic nucleus of Luys to the spinal cord in the Japanese monkey,” <i>Neuroscience Letters</i>, vol. 89, no. 1. Elsevier, pp. 13–18, 1988.","chicago":"Mizuno, Noboru, Teizo Ueyama, Kazuo Itoh, Takahiro Satoda, Takashi Tashiro, and Ryuichi Shigemoto. “Direct Projections from the Subthalamic Nucleus of Luys to the Spinal Cord in the Japanese Monkey.” <i>Neuroscience Letters</i>. Elsevier, 1988. <a href=\"https://doi.org/10.1016/0304-3940(88)90473-9\">https://doi.org/10.1016/0304-3940(88)90473-9</a>.","apa":"Mizuno, N., Ueyama, T., Itoh, K., Satoda, T., Tashiro, T., &#38; Shigemoto, R. (1988). Direct projections from the subthalamic nucleus of Luys to the spinal cord in the Japanese monkey. <i>Neuroscience Letters</i>. Elsevier. <a href=\"https://doi.org/10.1016/0304-3940(88)90473-9\">https://doi.org/10.1016/0304-3940(88)90473-9</a>","ama":"Mizuno N, Ueyama T, Itoh K, Satoda T, Tashiro T, Shigemoto R. Direct projections from the subthalamic nucleus of Luys to the spinal cord in the Japanese monkey. <i>Neuroscience Letters</i>. 1988;89(1):13-18. doi:<a href=\"https://doi.org/10.1016/0304-3940(88)90473-9\">10.1016/0304-3940(88)90473-9</a>","short":"N. Mizuno, T. Ueyama, K. Itoh, T. Satoda, T. Tashiro, R. Shigemoto, Neuroscience Letters 89 (1988) 13–18.","mla":"Mizuno, Noboru, et al. “Direct Projections from the Subthalamic Nucleus of Luys to the Spinal Cord in the Japanese Monkey.” <i>Neuroscience Letters</i>, vol. 89, no. 1, Elsevier, 1988, pp. 13–18, doi:<a href=\"https://doi.org/10.1016/0304-3940(88)90473-9\">10.1016/0304-3940(88)90473-9</a>.","ista":"Mizuno N, Ueyama T, Itoh K, Satoda T, Tashiro T, Shigemoto R. 1988. Direct projections from the subthalamic nucleus of Luys to the spinal cord in the Japanese monkey. Neuroscience Letters. 89(1), 13–18."},"issue":"1","external_id":{"pmid":["2456494"]},"article_type":"original","acknowledgement":"The photographic help of Mr Akira Uesugi and Mr Kenichl Uesugi, and the support of the Niwa Medical Research Foundation are gratefully acknowledged. This work has also been supported in part by Grants-ln-Aid for General Scientific Research Nos 59480095 and 62480098 from the Ministry of Education, Science and Culture of Japan","status":"public","year":"1988","_id":"2523","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":89,"page":"13 - 18","extern":"1","abstract":[{"text":"Injection of large amounts of a mixture of horseradish peroxidase and wheat germ agglutinin-horseradish peroxidase conjugate into the upper cervical segments of the spinal cord in the Japanese monkey (Macaca fuscata) led to the retrograde labeling of a small number of neuronal cell bodies within the rostral part of the subthalamic nucleus of Luys. Direct projection from the subthalamic nucleus to the spinal cord appeared to be much less prominent in the Japanese monkey than in the cat and rat.","lang":"eng"}],"publist_id":"4377","date_created":"2018-12-11T11:58:10Z","oa_version":"None","publisher":"Elsevier","publication":"Neuroscience Letters","title":"Direct projections from the subthalamic nucleus of Luys to the spinal cord in the Japanese monkey"},{"publication_identifier":{"issn":["0006-8993"],"eissn":["1872-6240"]},"citation":{"ama":"Kaneko T, Shigemoto R, Mizuno N. Metabolism of glutamate and ammonia in astrocyte an immunocytochemical study. <i>Brain Research</i>. 1988;457(1):160-164. doi:<a href=\"https://doi.org/10.1016/0006-8993(88)90069-8\">10.1016/0006-8993(88)90069-8</a>","short":"T. Kaneko, R. Shigemoto, N. Mizuno, Brain Research 457 (1988) 160–164.","mla":"Kaneko, Takeshi, et al. “Metabolism of Glutamate and Ammonia in Astrocyte an Immunocytochemical Study.” <i>Brain Research</i>, vol. 457, no. 1, Elsevier, 1988, pp. 160–64, doi:<a href=\"https://doi.org/10.1016/0006-8993(88)90069-8\">10.1016/0006-8993(88)90069-8</a>.","ista":"Kaneko T, Shigemoto R, Mizuno N. 1988. Metabolism of glutamate and ammonia in astrocyte an immunocytochemical study. Brain Research. 457(1), 160–164.","ieee":"T. Kaneko, R. Shigemoto, and N. Mizuno, “Metabolism of glutamate and ammonia in astrocyte an immunocytochemical study,” <i>Brain Research</i>, vol. 457, no. 1. Elsevier, pp. 160–164, 1988.","chicago":"Kaneko, Takeshi, Ryuichi Shigemoto, and Noboru Mizuno. “Metabolism of Glutamate and Ammonia in Astrocyte an Immunocytochemical Study.” <i>Brain Research</i>. Elsevier, 1988. <a href=\"https://doi.org/10.1016/0006-8993(88)90069-8\">https://doi.org/10.1016/0006-8993(88)90069-8</a>.","apa":"Kaneko, T., Shigemoto, R., &#38; Mizuno, N. (1988). Metabolism of glutamate and ammonia in astrocyte an immunocytochemical study. <i>Brain Research</i>. Elsevier. <a href=\"https://doi.org/10.1016/0006-8993(88)90069-8\">https://doi.org/10.1016/0006-8993(88)90069-8</a>"},"issue":"1","external_id":{"pmid":["3167561"]},"article_type":"original","status":"public","acknowledgement":"The authors are grateful to Akira Uesugi and Ken’ichi Uesugi for photographic help. This work was supported by the Niwa Medical Research Foundation and Grants-in-Aid for Special -Project Research (62121004), for General Scientific Research (62480098) and for Encouragement of Young Scientists (63770043) from the Ministry of Education, Science and Culture of Japan. ","year":"1988","_id":"2524","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":457,"page":"160 - 164","extern":"1","abstract":[{"text":"Alpha-ketoglutamate (α-KG) reductive amination activity in rat brain was found to be mostly absorbed with an antibody against liver glutamate dehydrogenase. With this and anti-glutamine synthetase antibodies, α-KG reductive amination activity was immunocytochemically shown to coexist with glutamine synthetase activity in astrocytes. The results suggest that astrocytes de novo synthesize glutamate from α-KG and ammonia, and metabolize it to glutamine.","lang":"eng"}],"publist_id":"4375","date_created":"2018-12-11T11:58:11Z","oa_version":"None","publisher":"Elsevier","publication":"Brain Research","title":"Metabolism of glutamate and ammonia in astrocyte an immunocytochemical study","month":"08","language":[{"iso":"eng"}],"day":"02","pmid":1,"publication_status":"published","intvolume":"       457","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/0006899388900698?via%3Dihub"}],"quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","doi":"10.1016/0006-8993(88)90069-8","date_updated":"2022-02-08T13:52:37Z","author":[{"full_name":"Kaneko, Takeshi","first_name":"Takeshi","last_name":"Kaneko"},{"full_name":"Shigemoto, Ryuichi","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","first_name":"Ryuichi","orcid":"0000-0001-8761-9444","last_name":"Shigemoto"},{"first_name":"Noboru","last_name":"Mizuno","full_name":"Mizuno, Noboru"}],"date_published":"1988-08-02T00:00:00Z"},{"quality_controlled":"1","extern":"1","date_published":"1988-01-01T00:00:00Z","author":[{"id":"338D39FE-F248-11E8-B48F-1D18A9856A87","full_name":"Sazanov, Leonid A","orcid":"0000-0002-4561-241X","last_name":"Sazanov","first_name":"Leonid A"},{"last_name":"Karavaev","first_name":"V A","full_name":"Karavaev, V A"},{"last_name":"Kukushkin","first_name":"A K","full_name":"Kukushkin, A K"}],"date_updated":"2022-02-09T13:40:17Z","article_processing_charge":"No","oa_version":"None","date_created":"2018-12-11T11:54:50Z","publist_id":"5144","title":"Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations","publication":"Russian Journal of Physical Chemistry B","publisher":"Elsevier","citation":{"ieee":"L. A. Sazanov, V. A. Karavaev, and A. K. Kukushkin, “Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations,” <i>Russian Journal of Physical Chemistry B</i>, vol. 52. Elsevier, pp. 3351–3354, 1988.","chicago":"Sazanov, Leonid A, V A Karavaev, and A K Kukushkin. “Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations.” <i>Russian Journal of Physical Chemistry B</i>. Elsevier, 1988.","apa":"Sazanov, L. A., Karavaev, V. A., &#38; Kukushkin, A. K. (1988). Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations. <i>Russian Journal of Physical Chemistry B</i>. Elsevier.","ama":"Sazanov LA, Karavaev VA, Kukushkin AK. Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations. <i>Russian Journal of Physical Chemistry B</i>. 1988;52:3351-3354.","short":"L.A. Sazanov, V.A. Karavaev, A.K. Kukushkin, Russian Journal of Physical Chemistry B 52 (1988) 3351–3354.","ista":"Sazanov LA, Karavaev VA, Kukushkin AK. 1988. Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations. Russian Journal of Physical Chemistry B. 52, 3351–3354.","mla":"Sazanov, Leonid A., et al. “Mathematical model of photosynthesis regulation accounts for the effects of changes in external conditions and observed oscillations.” <i>Russian Journal of Physical Chemistry B</i>, vol. 52, Elsevier, 1988, pp. 3351–54."},"publication_identifier":{"eissn":["1990-7923"],"issn":["1990-7931"]},"language":[{"iso":"rus"}],"month":"01","status":"public","article_type":"original","day":"01","intvolume":"        52","_id":"1941","publication_status":"published","year":"1988","page":"3351 - 3354","volume":52,"type":"journal_article","user_id":"2EBD1598-F248-11E8-B48F-1D18A9856A87"},{"_id":"3655","year":"1988","page":"660 - 674","volume":5,"type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","citation":{"ama":"Dallas J, Barton NH, Dover G. Interracial rDNA variation in the grasshopper Podisma Pedestris. <i>Molecular Biology and Evolution</i>. 1988;5(6):660-674. doi:<a href=\"https://doi.org/10.1093/oxfordjournals.molbev.a040528\">10.1093/oxfordjournals.molbev.a040528</a>","short":"J. Dallas, N.H. Barton, G. Dover, Molecular Biology and Evolution 5 (1988) 660–674.","ista":"Dallas J, Barton NH, Dover G. 1988. Interracial rDNA variation in the grasshopper Podisma Pedestris. Molecular Biology and Evolution. 5(6), 660–674.","mla":"Dallas, John, et al. “Interracial RDNA Variation in the Grasshopper Podisma Pedestris.” <i>Molecular Biology and Evolution</i>, vol. 5, no. 6, Oxford University Press, 1988, pp. 660–74, doi:<a href=\"https://doi.org/10.1093/oxfordjournals.molbev.a040528\">10.1093/oxfordjournals.molbev.a040528</a>.","chicago":"Dallas, John, Nicholas H Barton, and Gabriel Dover. “Interracial RDNA Variation in the Grasshopper Podisma Pedestris.” <i>Molecular Biology and Evolution</i>. Oxford University Press, 1988. <a href=\"https://doi.org/10.1093/oxfordjournals.molbev.a040528\">https://doi.org/10.1093/oxfordjournals.molbev.a040528</a>.","ieee":"J. Dallas, N. H. Barton, and G. Dover, “Interracial rDNA variation in the grasshopper Podisma Pedestris,” <i>Molecular Biology and Evolution</i>, vol. 5, no. 6. Oxford University Press, pp. 660–674, 1988.","apa":"Dallas, J., Barton, N. H., &#38; Dover, G. (1988). Interracial rDNA variation in the grasshopper Podisma Pedestris. <i>Molecular Biology and Evolution</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/oxfordjournals.molbev.a040528\">https://doi.org/10.1093/oxfordjournals.molbev.a040528</a>"},"publication_identifier":{"issn":["0737-4038"],"eissn":["1537-1719"]},"acknowledgement":"We thank Dr. W. Kunz for providing the clones pLm6F4 and pLm4Bll and Dr. D. Glover for the clone pDm238. We thank Brian Curtis for his photographic assistance. ","oa":1,"status":"public","article_type":"original","issue":"6","oa_version":"None","date_created":"2018-12-11T12:04:28Z","publist_id":"2728","title":"Interracial rDNA variation in the grasshopper Podisma Pedestris","publication":"Molecular Biology and Evolution","publisher":"Oxford University Press","abstract":[{"lang":"eng","text":"The structural basis and distribution of variation in the ribosomal RNA multigene family ( rDNA) was studied in the X0 and neo-XY races of the Alpine grasshopper Podisma pedestris. Restriction-enzyme sites in the gene region of the rDNA repeat were identical in both races and homogeneous in the rDNA family. In contrast, sites for Hind111 and PvuII in the intergenic spacer (IGS) region showed racial divergence and variation within the rDNA family and within populations. A short insertion in the 28s gene region was present in a minority of repeats in both races. The distributions of four polymorphic IGS Hind111 fragments were surveyed at 43 locations in and around the hybrid zone. Two of these fragments appear to be distributed as clines, one of which is strongly associated with the neo-X chromosome. The other two fragments show considerable variation in both races and show negative association. It is proposed that the clinally distributed variants arise from processes of amplification and divergence of IGS sequence variants and that such \r\ndivergence may contribute to hybrid inviability. "}],"extern":"1","main_file_link":[{"open_access":"1","url":"https://academic.oup.com/mbe/article/5/6/660/1044340"}],"intvolume":"         5","publication_status":"published","language":[{"iso":"eng"}],"month":"07","day":"01","quality_controlled":"1","date_published":"1988-07-01T00:00:00Z","author":[{"first_name":"John","last_name":"Dallas","full_name":"Dallas, John"},{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","full_name":"Barton, Nicholas H","last_name":"Barton","orcid":"0000-0002-8548-5240","first_name":"Nicholas H"},{"first_name":"Gabriel","last_name":"Dover","full_name":"Dover, Gabriel"}],"doi":"10.1093/oxfordjournals.molbev.a040528","date_updated":"2022-02-08T13:20:51Z","article_processing_charge":"No"},{"type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","page":"218 - 232","volume":77,"year":"1988","_id":"4090","article_type":"original","issue":"3","status":"public","oa":1,"acknowledgement":"Research of the first author is supported by Amoco Fnd. Fat. Dev. Comput. Sci. l-6-44862; research of the second author is supported by NSF Grant ECS 84-10902.","publication_identifier":{"eissn":["0890-5401"]},"citation":{"ieee":"H. Edelsbrunner and F. Preparata, “Minimum polygonal separation,” <i>Information and Computation</i>, vol. 77, no. 3. Elsevier, pp. 218–232, 1988.","chicago":"Edelsbrunner, Herbert, and Franco Preparata. “Minimum Polygonal Separation.” <i>Information and Computation</i>. Elsevier, 1988. <a href=\"https://doi.org/10.1016/0890-5401(88)90049-1\">https://doi.org/10.1016/0890-5401(88)90049-1</a>.","apa":"Edelsbrunner, H., &#38; Preparata, F. (1988). Minimum polygonal separation. <i>Information and Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/0890-5401(88)90049-1\">https://doi.org/10.1016/0890-5401(88)90049-1</a>","ama":"Edelsbrunner H, Preparata F. Minimum polygonal separation. <i>Information and Computation</i>. 1988;77(3):218-232. doi:<a href=\"https://doi.org/10.1016/0890-5401(88)90049-1\">10.1016/0890-5401(88)90049-1</a>","ista":"Edelsbrunner H, Preparata F. 1988. Minimum polygonal separation. Information and Computation. 77(3), 218–232.","mla":"Edelsbrunner, Herbert, and Franco Preparata. “Minimum Polygonal Separation.” <i>Information and Computation</i>, vol. 77, no. 3, Elsevier, 1988, pp. 218–32, doi:<a href=\"https://doi.org/10.1016/0890-5401(88)90049-1\">10.1016/0890-5401(88)90049-1</a>.","short":"H. Edelsbrunner, F. Preparata, Information and Computation 77 (1988) 218–232."},"publisher":"Elsevier","title":"Minimum polygonal separation","publication":"Information and Computation","publist_id":"2029","oa_version":"None","date_created":"2018-12-11T12:06:53Z","extern":"1","abstract":[{"text":"In this paper we study the problem of polygonal separation in the plane, i.e., finding a convex polygon with minimum number k of sides separating two given finite point sets (k-separator), if it exists. We show that for k = Θ(n),  is a lower bound to the running time of any algorithm for this problem, and exhibit two algorithms of distinctly different flavors. The first relies on an O(n log n)-time preprocessing task, which constructs the convex hull of the internal set and a nested star-shaped polygon determined by the external set; the k-separator is contained in the annulus between the boundaries of these two polygons and is constructed in additional linear time. The second algorithm adapts the prune-and-search approach, and constructs, in each iteration, one side of the separator; its running time is O(kn), but the separator may have one more side than the minimum.","lang":"eng"}],"publication_status":"published","main_file_link":[{"open_access":"1","url":"https://www.sciencedirect.com/science/article/pii/0890540188900491?via%3Dihub"}],"intvolume":"        77","day":"01","language":[{"iso":"eng"}],"month":"06","doi":"10.1016/0890-5401(88)90049-1","date_updated":"2022-02-08T10:36:30Z","article_processing_charge":"No","date_published":"1988-06-01T00:00:00Z","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Preparata, Franco","first_name":"Franco","last_name":"Preparata"}],"quality_controlled":"1","scopus_import":"1"},{"quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","doi":"10.1137/0217054 ","date_updated":"2022-02-08T11:14:23Z","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","first_name":"Herbert"},{"full_name":"Skiena, Steven","first_name":"Steven","last_name":"Skiena"}],"date_published":"1988-01-01T00:00:00Z","month":"01","language":[{"iso":"eng"}],"day":"01","publication_status":"published","main_file_link":[{"url":"https://epubs.siam.org/doi/10.1137/0217054"}],"intvolume":"        17","extern":"1","abstract":[{"lang":"eng","text":"An X-ray probe through a polygon measures the length of intersection between a line and the polygon. This paper considers the properties of various classes of X-ray probes, and shows how they interact to give finite strategies for completely describing convex n-gons. It is shown that (3n/2)+6 probes are sufficient to verify a specified n-gon, while for determining convex polygons (3n-1)/2 X-ray probes are necesssary and 5n+O(1) sufficient, with 3n+O(1) sufficient given that a lower bound on the size of the smallest edge of P is known."}],"publist_id":"2030","date_created":"2018-12-11T12:06:53Z","oa_version":"None","publisher":"SIAM","publication":"SIAM Journal on Computing","title":"Probing convex polygons with X-Rays","publication_identifier":{"issn":["0097-5397"],"eissn":["1095-7111"]},"citation":{"short":"H. Edelsbrunner, S. Skiena, SIAM Journal on Computing 17 (1988) 870–882.","mla":"Edelsbrunner, Herbert, and Steven Skiena. “Probing Convex Polygons with X-Rays.” <i>SIAM Journal on Computing</i>, vol. 17, no. 5, SIAM, 1988, pp. 870–82, doi:<a href=\"https://doi.org/10.1137/0217054 \">10.1137/0217054 </a>.","ista":"Edelsbrunner H, Skiena S. 1988. Probing convex polygons with X-Rays. SIAM Journal on Computing. 17(5), 870–882.","ama":"Edelsbrunner H, Skiena S. Probing convex polygons with X-Rays. <i>SIAM Journal on Computing</i>. 1988;17(5):870-882. doi:<a href=\"https://doi.org/10.1137/0217054 \">10.1137/0217054 </a>","apa":"Edelsbrunner, H., &#38; Skiena, S. (1988). Probing convex polygons with X-Rays. <i>SIAM Journal on Computing</i>. SIAM. <a href=\"https://doi.org/10.1137/0217054 \">https://doi.org/10.1137/0217054 </a>","ieee":"H. Edelsbrunner and S. Skiena, “Probing convex polygons with X-Rays,” <i>SIAM Journal on Computing</i>, vol. 17, no. 5. SIAM, pp. 870–882, 1988.","chicago":"Edelsbrunner, Herbert, and Steven Skiena. “Probing Convex Polygons with X-Rays.” <i>SIAM Journal on Computing</i>. SIAM, 1988. <a href=\"https://doi.org/10.1137/0217054 \">https://doi.org/10.1137/0217054 </a>."},"issue":"5","article_type":"original","acknowledgement":"The research of this author was supported by the Amoco Foundation Facility for the Development of Computer Science 1-6-44862.","status":"public","year":"1988","_id":"4091","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","type":"journal_article","volume":17,"page":"870 - 882"}]