Parallel edge coloring of a tree on a mesh connected computer

Chang Sung Jeong, Sung Up Cho, Sun Chul Whang, Mi Young Choi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An edge coloring is an assignment of colors to the edges of a graph so that no two edges with a common vertex have the same color. We show that, given an undirected tree T with n vertices, a minimum edge coloring of T can be determined in O(p n) time on a p(n) p (n) mesh-connected computer(MCC) by a novel technique which decomposes the tree into disjoint chains and then assigns the edge colors in each chain properly. The time complexity is optimal on MCC within constant factor.

Original languageEnglish
Title of host publicationTheoretical Computer Science
Subtitle of host publicationExploring New Frontiers of Theoretical Informatics - International Conference IFIP TCS 2000, Proceedings
EditorsJan van Leeuwen, Osamu Watanabe, Masami Hagiya, Peter D. Mosses, Takayasu Ito
PublisherSpringer Verlag
Pages76-83
Number of pages8
ISBN (Print)3540678239, 9783540678236
DOIs
Publication statusPublished - 2000
Event 1st IFIP International Conference on Theoretical Computer Science, TCS 2000 - Sendai, Japan
Duration: 2000 Aug 172000 Aug 19

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1872 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference 1st IFIP International Conference on Theoretical Computer Science, TCS 2000
CountryJapan
CitySendai
Period00/8/1700/8/19

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Fingerprint Dive into the research topics of 'Parallel edge coloring of a tree on a mesh connected computer'. Together they form a unique fingerprint.

  • Cite this

    Jeong, C. S., Cho, S. U., Whang, S. C., & Choi, M. Y. (2000). Parallel edge coloring of a tree on a mesh connected computer. In J. van Leeuwen, O. Watanabe, M. Hagiya, P. D. Mosses, & T. Ito (Eds.), Theoretical Computer Science: Exploring New Frontiers of Theoretical Informatics - International Conference IFIP TCS 2000, Proceedings (pp. 76-83). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1872 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-44929-9_6