Degree-constrained graph orientation: Maximum satisfaction and minimum violation

Yuichi Asahiro, Jesper Jansson, Eiji Miyano, Hirotaka Ono

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

3 被引用数 (Scopus)

抄録

A degree-constrained graph orientation of an undirected graph G is an assignment of a direction to each edge in G such that the outdegree of every vertex in the resulting directed graph satisfies a specified lower and/or upper bound. Such graph orientations have been studied for a long time and various characterizations of their existence are known. In this paper, we consider four related optimization problems introduced in [4]: For any fixed non-negative integer W, the problems Max W -Light, Min W -Light, Max W -Heavy, and Min W -Heavy take as input an undirected graph G and ask for an orientation of G that maximizes or minimizes the number of vertices with outdegree at most W or at least W. The problems' computational complexities vary with W. Here, we resolve several open questions related to their polynomial-time approximability and present a number of positive and negative results.

本文言語英語
ホスト出版物のタイトルApproximation and Online Algorithms - 11th International Workshop, WAOA 2013, Revised Selected Papers
出版社Springer Verlag
ページ24-36
ページ数13
ISBN(印刷版)9783319080000
DOI
出版ステータス出版済み - 2014
イベント11th International Workshop on Approximation and Online Algorithms, WAOA 2013 - Sophia Antipolis, フランス
継続期間: 9 5 20139 6 2013

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)
8447 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他11th International Workshop on Approximation and Online Algorithms, WAOA 2013
Countryフランス
CitySophia Antipolis
Period9/5/139/6/13

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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