Generalized Vertex-Colorings of Partial k-Tress(Special Section on Discrete Mathematics and Its Applications)
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概要
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Let l be a positive integer, and let G be a graph with nonnegative integer weights on edges. Then a generalized vertex-coloring, called an l-coloring of G, is an assignment of colors to the vertices of G in such a way that any two vertices u and v get different colors if the distance between u and v in G is at most l. In this paper we give an algorithm to find an l-coloring of a given graph G with the minimum number of colors. The algorithm takes polynomial time if G is a partial k-tree and both l and k are bounded integers.
- 社団法人電子情報通信学会の論文
- 2000-04-25
著者
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Zhou Xiao
The Authors Are With Graduate School Of Information Sciences Tohoku University
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Nishizeki Takao
The Author Is With The Graduate School Of Information Science Tohoku University
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Nishizeki Takao
The Authors Are With Graduate School Of Information Sciences Tohoku University
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Nishizeki Takao
The Author Is With Graduate School Of Information Sciences Tohoku University
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KANARI Yasuaki
The author is with Matsushita Communication Sendai R&D Labs. Co., Ltd.
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Kanari Yasuaki
The Author Is With Matsushita Communication Sendai R&d Labs. Co. Ltd.
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- Generalized Vertex-Colorings of Partial k-Tress(Special Section on Discrete Mathematics and Its Applications)