Chromaticity of Certain Bipartite Graphs

Since the introduction of the concepts of chromatically unique graphs and chromatically equivalent graphs, numerous families of such graphs have been obtained. The purpose of this thesis is to continue with the search of families of chromatically unique bipartite graphs. In Chapters 1 and 2, we...

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Main Author: Hasni @ Abdullah, Roslan
Format: Thesis
Language:English
English
Published: 2005
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/64/
http://psasir.upm.edu.my/id/eprint/64/1/1000548936_fsas_2005_2.pdf
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author Hasni @ Abdullah, Roslan
author_facet Hasni @ Abdullah, Roslan
author_sort Hasni @ Abdullah, Roslan
building UPM Institutional Repository
collection Online Access
description Since the introduction of the concepts of chromatically unique graphs and chromatically equivalent graphs, numerous families of such graphs have been obtained. The purpose of this thesis is to continue with the search of families of chromatically unique bipartite graphs. In Chapters 1 and 2, we define the concept of graph colouring, the associated chromatic polynomial and some properties of a chromatic polynomial. We also give some necessary conditions for graphs that are chromatically unique or chromatically equivalent. We end this chapter by stating some known results on the chromaticity of bipartite graphs, denoted as K(p,q).
first_indexed 2025-11-15T06:59:28Z
format Thesis
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institution Universiti Putra Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-15T06:59:28Z
publishDate 2005
recordtype eprints
repository_type Digital Repository
spelling upm-642013-05-27T06:45:24Z http://psasir.upm.edu.my/id/eprint/64/ Chromaticity of Certain Bipartite Graphs Hasni @ Abdullah, Roslan Since the introduction of the concepts of chromatically unique graphs and chromatically equivalent graphs, numerous families of such graphs have been obtained. The purpose of this thesis is to continue with the search of families of chromatically unique bipartite graphs. In Chapters 1 and 2, we define the concept of graph colouring, the associated chromatic polynomial and some properties of a chromatic polynomial. We also give some necessary conditions for graphs that are chromatically unique or chromatically equivalent. We end this chapter by stating some known results on the chromaticity of bipartite graphs, denoted as K(p,q). 2005-01 Thesis NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/64/1/1000548936_fsas_2005_2.pdf Hasni @ Abdullah, Roslan (2005) Chromaticity of Certain Bipartite Graphs. PhD thesis, Universiti Putra Malaysia. Bipartite graphs Graph coloring English
spellingShingle Bipartite graphs
Graph coloring
Hasni @ Abdullah, Roslan
Chromaticity of Certain Bipartite Graphs
title Chromaticity of Certain Bipartite Graphs
title_full Chromaticity of Certain Bipartite Graphs
title_fullStr Chromaticity of Certain Bipartite Graphs
title_full_unstemmed Chromaticity of Certain Bipartite Graphs
title_short Chromaticity of Certain Bipartite Graphs
title_sort chromaticity of certain bipartite graphs
topic Bipartite graphs
Graph coloring
url http://psasir.upm.edu.my/id/eprint/64/
http://psasir.upm.edu.my/id/eprint/64/1/1000548936_fsas_2005_2.pdf