Bandwidth consecutive multicolorings of graphs

Kazuhide Nishikawa, Takao Nishizeki, Xiao Zhou

研究成果: Article査読

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
ページ(範囲)64-72
ページ数9
ジャーナルTheoretical Computer Science
532
DOI
出版ステータスPublished - 2014 1 1

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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