Sufficient Condition and Algorithm for List Total Colorings of Series-Parallel Graphs(<Special Section>Discrete Mathematics and Its Applications)
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概要
- 論文の詳細を見る
A total coloring of a graph G is a coloring of all elements of G, i.e. vertices and edges, such that no two adjacent or incident elements receive the same color. Let L(x) be a set of colors assigned to each element x of G. Then a list total coloring of G is a total coloring such that each element x receives a color contained in L(x). The list total coloring problem asks whether G has a list total coloring for given L. In this paper, we give a sufficient condition for a series-parallel graph to have a list total coloring, and we present a linear-time algorithm to find a list total coloring of a given series-parallel graph G if G and L satisfy the sufficient condition.
- 社団法人電子情報通信学会の論文
- 2007-05-01
著者
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Nishizeki Takao
Tohoku Univ. Sendai‐shi Jpn
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Nishizeki Takao
Graduate School Of Information Sciences Tohoku University
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Zhou Xiao
Graduate School Of Information Sciences Tohoku University
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Nishizeki Takao
Graduate School Of Information Sciences
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MATSUO Yuki
Graduate School of Information Sciences, Tohoku University
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Matsuo Yuki
Graduate School Of Information Sciences Tohoku University
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Zhou Xiao
Graduate School Of Information Sciences Tohoku Univ.
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Matsuo Yuki
Graduate School Of Engineering Osaka University
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