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Ars Combinatoria

  • Research article

A Family of Chromatically Unique \(K_4\)-Homeomorphs

Yan-Ling Peng1,2
1Department of Mathematics, The University of Idaho, Moscow, ID 83844, USA
2Department of Mathematics, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China
  • Published: 31/07/2012

Abstract

We discuss the chromaticity of one family of \(K_4\)-homeomorphs which has girth \(7\) and has exactly \(1\) path of length \(1\), and give a sufficient and necessary condition for the graphs in the family to be chromatically unique.

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Citation
Yan-Ling Peng. A Family of Chromatically Unique \(K_4\)-Homeomorphs[J], Ars Combinatoria, Volume 105. 491-502. .