The balanced edge cover problem

Yuta Harada, Hirotaka Ono, Kunihiko Sadakane, Masafumi Yamashita

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

2 被引用数 (Scopus)

抄録

For an undirected graph G∈=∈(V, E), an edge cover is defined as a set of edges that covers all vertices of V. It is known that a minimum edge cover can be found in polynomial time and forms a collection of star graphs. In this paper, we consider the problem of finding a balanced edge cover where the degrees of star center vertices are balanced, which can be applied to optimize sensor network structures, for example. To this end, we formulate the problem as a minimization of the summation of strictly monotone increasing convex costs associated with degrees for covered vertices, and show that the optimality can be characterized as the non-existence of certain alternating paths. By using this characterization, we show that the optimal covers are also minimum edge covers, have the lexicographically smallest degree sequence of the covered vertices, and minimize the maximum degree of covered vertices. Based on the characterization we also present an O(|V||E|) time algorithm.

本文言語英語
ホスト出版物のタイトルAlgorithms and Computation - 19th International Symposium, ISAAC 2008, Proceedings
ページ246-257
ページ数12
DOI
出版ステータス出版済み - 12 1 2008
イベント19th International Symposium on Algorithms and Computation, ISAAC 2008 - Gold Coast, QLD, オーストラリア
継続期間: 12 15 200812 17 2008

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
5369 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他19th International Symposium on Algorithms and Computation, ISAAC 2008
Countryオーストラリア
CityGold Coast, QLD
Period12/15/0812/17/08

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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