Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic

In this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide insights into their topological structure.

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Main Authors: A. Divya, K. Ramya, D. Sasikala
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Results in Control and Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666720724000973
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author A. Divya
K. Ramya
D. Sasikala
author_facet A. Divya
K. Ramya
D. Sasikala
author_sort A. Divya
collection DOAJ
description In this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide insights into their topological structure.
format Article
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issn 2666-7207
language English
publishDate 2024-12-01
publisher Elsevier
record_format Article
series Results in Control and Optimization
spelling doaj-art-5d9722a74f8344329d970b7ca6a720e52025-08-20T01:58:23ZengElsevierResults in Control and Optimization2666-72072024-12-011710046710.1016/j.rico.2024.100467Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphicA. Divya0K. Ramya1D. Sasikala2Department of Mathematics, Sri Ramakrishna College of arts & Science, Coimbatore 641006, Tamilnadu, India; Corresponding author.Department of Mathematics, Sri Ramakrishna College of arts & Science, Coimbatore 641006, Tamilnadu, IndiaDepartment of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, Tamilnadu, IndiaIn this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide insights into their topological structure.http://www.sciencedirect.com/science/article/pii/S2666720724000973Alexandroff spaceVertex labelingGraphic topology
spellingShingle A. Divya
K. Ramya
D. Sasikala
Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
Results in Control and Optimization
Alexandroff space
Vertex labeling
Graphic topology
title Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
title_full Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
title_fullStr Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
title_full_unstemmed Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
title_short Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
title_sort necessary or sufficient condition for alexandroff topological spaces to be cordial graphic
topic Alexandroff space
Vertex labeling
Graphic topology
url http://www.sciencedirect.com/science/article/pii/S2666720724000973
work_keys_str_mv AT adivya necessaryorsufficientconditionforalexandrofftopologicalspacestobecordialgraphic
AT kramya necessaryorsufficientconditionforalexandrofftopologicalspacestobecordialgraphic
AT dsasikala necessaryorsufficientconditionforalexandrofftopologicalspacestobecordialgraphic