On chromatic polynomials of regular graphs and modified wheels

Let P(G,y) denote the chromatic polynomial of a graph G expressed in the variable y. A graph G is chromatically unique if P(G,y) = P(H,y) implies that H is isomorphic to G. It is proven that complements of partial matching forest are chromatically unique. An infinite family of counterexamples to the...

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Main Author: Aves, Lovelina A.
Format: text
Language:English
Published: Animo Repository 1994
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/1550
https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8388/viewcontent/TG02237_F_Redacted.pdf
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-83882022-03-14T03:51:42Z On chromatic polynomials of regular graphs and modified wheels Aves, Lovelina A. Let P(G,y) denote the chromatic polynomial of a graph G expressed in the variable y. A graph G is chromatically unique if P(G,y) = P(H,y) implies that H is isomorphic to G. It is proven that complements of partial matching forest are chromatically unique. An infinite family of counterexamples to the conjecture that all regular graphs are chromatically unique is constructed. It is shown that the coefficients of chromatic polynomials of certain connected graphs, relative to the three basis, do not exhibit the strong logarithmic concavity property. Many of the coefficients have equal absolute values. 1994-09-01T07:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/1550 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8388/viewcontent/TG02237_F_Redacted.pdf Master's Theses English Animo Repository Polynomials Analytic functions Graph theory Mathematics--Formulae Groups, Theory of Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Polynomials
Analytic functions
Graph theory
Mathematics--Formulae
Groups, Theory of
Mathematics
spellingShingle Polynomials
Analytic functions
Graph theory
Mathematics--Formulae
Groups, Theory of
Mathematics
Aves, Lovelina A.
On chromatic polynomials of regular graphs and modified wheels
description Let P(G,y) denote the chromatic polynomial of a graph G expressed in the variable y. A graph G is chromatically unique if P(G,y) = P(H,y) implies that H is isomorphic to G. It is proven that complements of partial matching forest are chromatically unique. An infinite family of counterexamples to the conjecture that all regular graphs are chromatically unique is constructed. It is shown that the coefficients of chromatic polynomials of certain connected graphs, relative to the three basis, do not exhibit the strong logarithmic concavity property. Many of the coefficients have equal absolute values.
format text
author Aves, Lovelina A.
author_facet Aves, Lovelina A.
author_sort Aves, Lovelina A.
title On chromatic polynomials of regular graphs and modified wheels
title_short On chromatic polynomials of regular graphs and modified wheels
title_full On chromatic polynomials of regular graphs and modified wheels
title_fullStr On chromatic polynomials of regular graphs and modified wheels
title_full_unstemmed On chromatic polynomials of regular graphs and modified wheels
title_sort on chromatic polynomials of regular graphs and modified wheels
publisher Animo Repository
publishDate 1994
url https://animorepository.dlsu.edu.ph/etd_masteral/1550
https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8388/viewcontent/TG02237_F_Redacted.pdf
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