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Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun

Consider two graph G and H. For graph G, let P(G,λ) denote the chromatic polynomial of a graph G and P(H,λ) denote the chromatic polynomial of a graph H. Graph G and H are chromatically equivalent, G ~ H, if P(G,λ) = P(H,λ). A graph G is said to be chromatically unique, x-unique, if for any graph H,...

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Main Authors: Azmi, Madihah, Mustapha, Emy Norfariha, Harun, Asmaa' Amalina
Format: Student Project
Language:English
Published: 2016
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110580/1/110580.pdf
https://ir.uitm.edu.my/id/eprint/110580/
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spelling my.uitm.ir.1105802025-02-25T09:22:24Z https://ir.uitm.edu.my/id/eprint/110580/ Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun Azmi, Madihah Mustapha, Emy Norfariha Harun, Asmaa' Amalina Study and teaching Equations Analysis Consider two graph G and H. For graph G, let P(G,λ) denote the chromatic polynomial of a graph G and P(H,λ) denote the chromatic polynomial of a graph H. Graph G and H are chromatically equivalent, G ~ H, if P(G,λ) = P(H,λ). A graph G is said to be chromatically unique, x-unique, if for any graph H, H is isomorphic to G, denoted by G ~ H implies G ≅ H. To find the uniqueness of the graph, we will use the theorems and lemmas that have been used by others researchers in finding the k-bridge graph for k ≤ 5. In this project, we have studied about the chromatic uniqueness of a new family of 6-bridge graph which is θ(3,3,3,b,c,c). 2016 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110580/1/110580.pdf Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun. (2016) [Student Project] <http://terminalib.uitm.edu.my/110580.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Azmi, Madihah
Mustapha, Emy Norfariha
Harun, Asmaa' Amalina
Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
description Consider two graph G and H. For graph G, let P(G,λ) denote the chromatic polynomial of a graph G and P(H,λ) denote the chromatic polynomial of a graph H. Graph G and H are chromatically equivalent, G ~ H, if P(G,λ) = P(H,λ). A graph G is said to be chromatically unique, x-unique, if for any graph H, H is isomorphic to G, denoted by G ~ H implies G ≅ H. To find the uniqueness of the graph, we will use the theorems and lemmas that have been used by others researchers in finding the k-bridge graph for k ≤ 5. In this project, we have studied about the chromatic uniqueness of a new family of 6-bridge graph which is θ(3,3,3,b,c,c).
format Student Project
author Azmi, Madihah
Mustapha, Emy Norfariha
Harun, Asmaa' Amalina
author_facet Azmi, Madihah
Mustapha, Emy Norfariha
Harun, Asmaa' Amalina
author_sort Azmi, Madihah
title Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
title_short Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
title_full Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
title_fullStr Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
title_full_unstemmed Technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / Madihah Azmi, Emy Norfariha Mustapha and Asmaa' Amalina Harun
title_sort technical report: chromaticity of 6-bridge graph θ(3,3,3,b,c,c) / madihah azmi, emy norfariha mustapha and asmaa' amalina harun
publishDate 2016
url https://ir.uitm.edu.my/id/eprint/110580/1/110580.pdf
https://ir.uitm.edu.my/id/eprint/110580/
_version_ 1825165204549271552
score 13.239859

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