Two families of chromatically unique graphs.

Let P(G) denote the chromatic polynomial of a graph G. A graph G is said to be chromatically unique if P(G) = P(H) implies that H is isomorphic to G. In this paper, We prove that a graph (resp., a bipartite graph) obtained from K2,4 U P3 (s ≥ 3) (resp., K3,3 U P3 (s ≥ 7)) by identifying the end...

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Main Author: Yee, Hock Peng
Format: Conference or Workshop Item
Language:English
English
Published: 1992
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/18678/1/ID%2018678.pdf
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author Yee, Hock Peng
author_facet Yee, Hock Peng
author_sort Yee, Hock Peng
collection UPM
description Let P(G) denote the chromatic polynomial of a graph G. A graph G is said to be chromatically unique if P(G) = P(H) implies that H is isomorphic to G. In this paper, We prove that a graph (resp., a bipartite graph) obtained from K2,4 U P3 (s ≥ 3) (resp., K3,3 U P3 (s ≥ 7)) by identifying the end vertices of the path Ps with any two vertices of the complete bipartite graph K2,4 (resp., K3,3) is chromatically unique.
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spelling upm.eprints-186782014-04-14T06:54:12Z http://psasir.upm.edu.my/id/eprint/18678/ Two families of chromatically unique graphs. Yee, Hock Peng Let P(G) denote the chromatic polynomial of a graph G. A graph G is said to be chromatically unique if P(G) = P(H) implies that H is isomorphic to G. In this paper, We prove that a graph (resp., a bipartite graph) obtained from K2,4 U P3 (s ≥ 3) (resp., K3,3 U P3 (s ≥ 7)) by identifying the end vertices of the path Ps with any two vertices of the complete bipartite graph K2,4 (resp., K3,3) is chromatically unique. 1992 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/18678/1/ID%2018678.pdf Yee, Hock Peng (1992) Two families of chromatically unique graphs. In: The Asian Mathematical Conference, 14-18 August 1990, Hong Kong. . Charts, diagrams, etc. Mathematics. English
spellingShingle Charts, diagrams, etc.
Mathematics.
Yee, Hock Peng
Two families of chromatically unique graphs.
title Two families of chromatically unique graphs.
title_full Two families of chromatically unique graphs.
title_fullStr Two families of chromatically unique graphs.
title_full_unstemmed Two families of chromatically unique graphs.
title_short Two families of chromatically unique graphs.
title_sort two families of chromatically unique graphs
topic Charts, diagrams, etc.
Mathematics.
url http://psasir.upm.edu.my/id/eprint/18678/1/ID%2018678.pdf
work_keys_str_mv AT yeehockpeng twofamiliesofchromaticallyuniquegraphs