@Article{CatadaGhimire2010,
author = "Catada-Ghimire, S. and Roslan, H. and Peng, Y. H.",
title = "On chromatic equivalence of a pair of K<sub>4</sub>-homeomorphs",
journal = "Opuscula Math.",
year = "2010",
volume = "30",
number = "2",
pages = "123--131",
doi = "http://dx.doi.org/10.7494/OpMath.2010.30.2.123",
url = "http://dx.doi.org/10.7494/OpMath.2010.30.2.123",
abstract = "Let \(P(G, \lambda)\) be the chromatic polynomial of a graph \(G\). Two graphs \(G\) and \(H\) are said to be chromatically equivalent, denoted \(G \sim H\), if \(P(G, \lambda) = P(H, \lambda)\). We write \([G] = \{H| H \sim G\}\). If \([G] = \{G\}\), then \(G\) is said to be chromatically unique. In this paper, we discuss a chromatically equivalent pair of graphs in one family of \(K_4\)-homeomorphs, \(K_4(1, 2, 8, d, e, f)\). The obtained result can be extended in the study of chromatic equivalence classes of \(K_4(1, 2, 8, d, e, f)\) and chromatic uniqueness of \(K_4\)-homeomorphs with girth \(11\).",
keywords = "chromatic polynomial, chromatic equivalence, \(K_4\)-homeomorphs",
issn = "1232-9274"
}