Algorithms for bandwidth consecutive multicolorings of graphs

Kazuhide Nishikawa, Takao Nishizeki, Xiao Zhou

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

Let G be a simple graph in which each vertex v has a positive integer weight b(v) and each edge (v,w) has a nonnegative integer weight b(v,w). A bandwidth consecutive multicoloring of G assigns each vertex v a specified number b(v) of consecutive positive integers so that, for each edge (v,w), all integers assigned to vertex v differ from all integers assigned to vertex w by more than b(v,w). The maximum integer assigned to a vertex is called the span of the coloring. In the paper, we first investigate fundamental properties of such a coloring. We then obtain a pseudo polynomial-time exact algorithm and a fully polynomial-time approximation scheme for the problem of finding such a coloring of a given series-parallel graph with the minimum span. We finally extend the results to the case where a given graph G is a partial k-tree, that is, G has a bounded tree-width.

本文言語English
ホスト出版物のタイトルFrontiers in Algorithmics and Algorithmic Aspects in Information and Management - Joint International Conference, FAW-AAIM 2012, Proceedings
ページ117-128
ページ数12
DOI
出版ステータスPublished - 2012
イベント6th International Frontiers of Algorithmics Workshop, FAW 2012 and 8th International Conference on Algorithmic Aspects of Information and Management, AAIM 2012 - Beijing, China
継続期間: 2012 5 142012 5 16

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)
7285 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other6th International Frontiers of Algorithmics Workshop, FAW 2012 and 8th International Conference on Algorithmic Aspects of Information and Management, AAIM 2012
CountryChina
CityBeijing
Period12/5/1412/5/16

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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