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Chromaticity of a family of K4 homeomorphs

โœ Scribed by Zhi-Yi Guo; Earl Glen Whitehead Jr.


Book ID
104113783
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
255 KB
Volume
172
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


A K4 homeomorph can be described as a graph on n vertices having 4 vertices of degree 3 and n -4 vertices of degree 2; each pair of degree 3 vertices is joined by a path. We study the chromatic uniqueness and chromatic equivalence of one family of K4 homeomorphs. This family has exactly 3 paths of length one. The results of this study leads us to solve 3 of the problems posed by Koh and Teo in their 1990 survey paper which appeared in Graphs and Combinatorics.


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