{"language":[{"iso":"eng"}],"intvolume":"        66","quality_controlled":"1","scopus_import":"1","title":"Scheduling multicasts on unit-capacity trees and meshes","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/S0022-0000(03)00043-6"}],"oa_version":"Published Version","issue":"3","day":"01","article_type":"original","publisher":"Elsevier","year":"2003","date_published":"2003-05-01T00:00:00Z","extern":"1","type":"journal_article","date_updated":"2023-02-10T08:03:31Z","volume":66,"publication_identifier":{"issn":["0022-0000"]},"_id":"11766","doi":"10.1016/s0022-0000(03)00043-6","author":[{"id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger","orcid":"0000-0002-5008-6530","first_name":"Monika H","full_name":"Henzinger, Monika H"},{"full_name":"Leonardi, Stefano","first_name":"Stefano","last_name":"Leonardi"}],"abstract":[{"lang":"eng","text":"This paper studies the multicast routing and admission control problem on unit-capacity tree and mesh topologies in the throughput model. The problem is a generalization of the edge-disjoint paths problem and is NP-hard both on trees and meshes. We study both the offline and the online version of the problem: In the offline setting, we give the first constant-factor approximation algorithm for trees, and an -factor approximation algorithm for meshes. In the online setting, we give the first polylogarithmic competitive online algorithm for tree and mesh topologies. No polylogarithmic-competitive algorithm is possible on general network topologies (Lower bounds for on-line graph problems with application to on-line circuits and optical routing, in: Proceedings of the 28th ACM Symposium on Theory of Computing, 1996, pp. 531–540) and there exists a polylogarithmic lower bound on the competitive ratio of any online algorithm on tree topologies (Making commitments in the face of uncertainity: how to pick a winner almost every time, in: Proceedings of the 28th Annual ACM Symposium on Theory of Computing, 1996, pp. 519–530). We prove the same lower bound for meshes."}],"publication_status":"published","publication":"Journal of Computer and System Sciences","article_processing_charge":"No","month":"05","date_created":"2022-08-08T12:24:35Z","citation":{"chicago":"Henzinger, Monika H, and Stefano Leonardi. “Scheduling Multicasts on Unit-Capacity Trees and Meshes.” <i>Journal of Computer and System Sciences</i>. Elsevier, 2003. <a href=\"https://doi.org/10.1016/s0022-0000(03)00043-6\">https://doi.org/10.1016/s0022-0000(03)00043-6</a>.","ista":"Henzinger MH, Leonardi S. 2003. Scheduling multicasts on unit-capacity trees and meshes. Journal of Computer and System Sciences. 66(3), 567–611.","apa":"Henzinger, M. H., &#38; Leonardi, S. (2003). Scheduling multicasts on unit-capacity trees and meshes. <i>Journal of Computer and System Sciences</i>. Elsevier. <a href=\"https://doi.org/10.1016/s0022-0000(03)00043-6\">https://doi.org/10.1016/s0022-0000(03)00043-6</a>","mla":"Henzinger, Monika H., and Stefano Leonardi. “Scheduling Multicasts on Unit-Capacity Trees and Meshes.” <i>Journal of Computer and System Sciences</i>, vol. 66, no. 3, Elsevier, 2003, pp. 567–611, doi:<a href=\"https://doi.org/10.1016/s0022-0000(03)00043-6\">10.1016/s0022-0000(03)00043-6</a>.","ama":"Henzinger MH, Leonardi S. Scheduling multicasts on unit-capacity trees and meshes. <i>Journal of Computer and System Sciences</i>. 2003;66(3):567-611. doi:<a href=\"https://doi.org/10.1016/s0022-0000(03)00043-6\">10.1016/s0022-0000(03)00043-6</a>","short":"M.H. Henzinger, S. Leonardi, Journal of Computer and System Sciences 66 (2003) 567–611.","ieee":"M. H. Henzinger and S. Leonardi, “Scheduling multicasts on unit-capacity trees and meshes,” <i>Journal of Computer and System Sciences</i>, vol. 66, no. 3. Elsevier, pp. 567–611, 2003."},"status":"public","page":"567-611","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}