Circular Chromatic Indices of Regular Graphs |
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| Authors: | Cheyu Lin Tsai‐Lien Wong Xuding Zhu |
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| Affiliation: | 1. DEPARTMENT OF APPLIED MATHEMATICS, NATIONAL SUN YAT‐SEN UNIVERSITY, KAOHSIUNG, TAIWAN;2. DEPARTMENT OF MATHEMATICS, ZHEJIANG NORMAL UNIVERSITY, CHINA |
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| Abstract: | The circular chromatic index of a graph G, written  , is the minimum r permitting a function  such that  whenever e and  are adjacent. It is known that for any  , there is a 3‐regular simple graph G with  . This article proves the following results: Assume  is an odd integer. For any  , there is an n‐regular simple graph G with  . For any  , there is an n‐regular multigraph G with  . |
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| Keywords: | circular chromatic index regular graphs line graphs |
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