@article {
author = {Karim, N.S.A. and Hasni, R. and Lau, G.C.},
title = {A new result on chromaticity of K4-homoemorphs with girth 9},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {2},
pages = {319-336},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {For a graph $G$, let $P(G,lambda)$ denote the chromatic polynomial of $G$. Two graphs $G$ and $H$ are chromatically equivalent if they share the same chromatic polynomial. A graph $G$ is chromatically unique if any graph chromatically equivalent to $G$ is isomorphic to $G$. A $K_4$-homeomorph is a subdivision of the complete graph $K_4$. In this paper, we determine a family of chromatically unique $K_4$-homeomorphs which have girth 9 and has exactly one path of length 1, and give sufficient and necessary condition for the graphs in this family to be chromatically unique.},
keywords = {Chromatic polynomial,chromatically unique,$K_4$-homeomorphs},
url = {http://bims.iranjournals.ir/article_934.html},
eprint = {http://bims.iranjournals.ir/article_934_939a971a7355485402466c756b6fb1a9.pdf}
}