{"article_number":"34","abstract":[{"text":"A (possibly degenerate) drawing of a graph G in the plane is approximable by an embedding if it can be turned into an embedding by an arbitrarily small perturbation. We show that testing, whether a drawing of a planar graph G in the plane is approximable by an embedding, can be carried out in polynomial time, if a desired embedding of G belongs to a fixed isotopy class, i.e., the rotation system (or equivalently the faces) of the embedding of G and the choice of outer face are fixed. In other words, we show that c-planarity with embedded pipes is tractable for graphs with fixed embeddings. To the best of our knowledge an analogous result was previously known essentially only when G is a cycle.","lang":"eng"}],"publication_status":"published","_id":"6517","doi":"10.4230/LIPICS.ISAAC.2017.34","conference":{"start_date":"2017-12-09","end_date":"2017-12-22","location":"Phuket, Thailand","name":"ISAAC: International Symposium on Algorithms and Computation"},"author":[{"full_name":"Fulek, Radoslav","first_name":"Radoslav","orcid":"0000-0001-8485-1774","last_name":"Fulek","id":"39F3FFE4-F248-11E8-B48F-1D18A9856A87"}],"has_accepted_license":"1","type":"conference","date_updated":"2021-01-12T08:07:51Z","volume":92,"oa":1,"file_date_updated":"2020-07-14T12:47:33Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["510"],"status":"public","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"},{"grant_number":"M02281","_id":"261FA626-B435-11E9-9278-68D0E5697425","name":"Eliminating intersections in drawings of graphs","call_identifier":"FWF"}],"month":"12","date_created":"2019-06-04T12:11:52Z","citation":{"chicago":"Fulek, Radoslav. “Embedding Graphs into Embedded Graphs,” Vol. 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href=\"https://doi.org/10.4230/LIPICS.ISAAC.2017.34\">https://doi.org/10.4230/LIPICS.ISAAC.2017.34</a>.","ista":"Fulek R. 2017. Embedding graphs into embedded graphs. ISAAC: International Symposium on Algorithms and Computation vol. 92, 34.","apa":"Fulek, R. (2017). Embedding graphs into embedded graphs (Vol. 92). Presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPICS.ISAAC.2017.34\">https://doi.org/10.4230/LIPICS.ISAAC.2017.34</a>","short":"R. Fulek, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.","ama":"Fulek R. Embedding graphs into embedded graphs. In: Vol 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href=\"https://doi.org/10.4230/LIPICS.ISAAC.2017.34\">10.4230/LIPICS.ISAAC.2017.34</a>","mla":"Fulek, Radoslav. <i>Embedding Graphs into Embedded Graphs</i>. Vol. 92, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href=\"https://doi.org/10.4230/LIPICS.ISAAC.2017.34\">10.4230/LIPICS.ISAAC.2017.34</a>.","ieee":"R. Fulek, “Embedding graphs into embedded graphs,” presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand, 2017, vol. 92."},"department":[{"_id":"UlWa"}],"oa_version":"Published Version","scopus_import":1,"quality_controlled":"1","title":"Embedding graphs into embedded graphs","language":[{"iso":"eng"}],"file":[{"date_created":"2019-06-04T12:20:35Z","checksum":"fc7a643e29621c8bbe49d36b39081f31","access_level":"open_access","file_name":"2017_LIPIcs-Fulek.pdf","relation":"main_file","creator":"kschuh","file_id":"6518","date_updated":"2020-07-14T12:47:33Z","content_type":"application/pdf","file_size":588982}],"intvolume":"        92","date_published":"2017-12-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","year":"2017","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","ec_funded":1}