Some Indices over a New Algebraic Graph

In this paper, we first introduce a new graph ΓN over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index, and a...

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Main Author: Nurten Urlu Özalan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5510384
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author Nurten Urlu Özalan
author_facet Nurten Urlu Özalan
author_sort Nurten Urlu Özalan
collection DOAJ
description In this paper, we first introduce a new graph ΓN over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index, and also perfectness for ΓN. Moreover, we state and prove some important known Zagreb indices on this new graph.
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spelling doaj-art-f5f423c36f3f43a78e01676403e91f2f2025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55103845510384Some Indices over a New Algebraic GraphNurten Urlu Özalan0Engineering Faculty, KTO Karatay University, Konya 42020, TurkeyIn this paper, we first introduce a new graph ΓN over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index, and also perfectness for ΓN. Moreover, we state and prove some important known Zagreb indices on this new graph.http://dx.doi.org/10.1155/2021/5510384
spellingShingle Nurten Urlu Özalan
Some Indices over a New Algebraic Graph
Journal of Mathematics
title Some Indices over a New Algebraic Graph
title_full Some Indices over a New Algebraic Graph
title_fullStr Some Indices over a New Algebraic Graph
title_full_unstemmed Some Indices over a New Algebraic Graph
title_short Some Indices over a New Algebraic Graph
title_sort some indices over a new algebraic graph
url http://dx.doi.org/10.1155/2021/5510384
work_keys_str_mv AT nurtenurluozalan someindicesoveranewalgebraicgraph