Domination (totally) Dot-critical of Harary Graphs

A graph G is referred to as domination vertex critical if the removal of any vertex results in a reduction of the domination number. It is considered dot-critical (or totally dot-critical) if contracting any edge (or identifying any two vertices) leads to a decrease in the domination number. In this...

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Published in:Malaysian Journal of Mathematical Sciences
Main Author: Hasni R.; Mojdeh D.A.; Bakar S.A.
Format: Article
Language:English
Published: Universiti Putra Malaysia 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191179713&doi=10.47836%2fmjms.18.1.01&partnerID=40&md5=ed9f6730d455bc6902e10af1b31d0287
id 2-s2.0-85191179713
spelling 2-s2.0-85191179713
Hasni R.; Mojdeh D.A.; Bakar S.A.
Domination (totally) Dot-critical of Harary Graphs
2024
Malaysian Journal of Mathematical Sciences
18
1
10.47836/mjms.18.1.01
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191179713&doi=10.47836%2fmjms.18.1.01&partnerID=40&md5=ed9f6730d455bc6902e10af1b31d0287
A graph G is referred to as domination vertex critical if the removal of any vertex results in a reduction of the domination number. It is considered dot-critical (or totally dot-critical) if contracting any edge (or identifying any two vertices) leads to a decrease in the domination number. In this concise paper, we delve into the investigation of these properties and proceed to characterize the dot-critical and totally dot-critical attributes of Harary graphs. © (2024), (Universiti Putra Malaysia). All Rights Reserved.
Universiti Putra Malaysia
18238343
English
Article
All Open Access; Bronze Open Access
author Hasni R.; Mojdeh D.A.; Bakar S.A.
spellingShingle Hasni R.; Mojdeh D.A.; Bakar S.A.
Domination (totally) Dot-critical of Harary Graphs
author_facet Hasni R.; Mojdeh D.A.; Bakar S.A.
author_sort Hasni R.; Mojdeh D.A.; Bakar S.A.
title Domination (totally) Dot-critical of Harary Graphs
title_short Domination (totally) Dot-critical of Harary Graphs
title_full Domination (totally) Dot-critical of Harary Graphs
title_fullStr Domination (totally) Dot-critical of Harary Graphs
title_full_unstemmed Domination (totally) Dot-critical of Harary Graphs
title_sort Domination (totally) Dot-critical of Harary Graphs
publishDate 2024
container_title Malaysian Journal of Mathematical Sciences
container_volume 18
container_issue 1
doi_str_mv 10.47836/mjms.18.1.01
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191179713&doi=10.47836%2fmjms.18.1.01&partnerID=40&md5=ed9f6730d455bc6902e10af1b31d0287
description A graph G is referred to as domination vertex critical if the removal of any vertex results in a reduction of the domination number. It is considered dot-critical (or totally dot-critical) if contracting any edge (or identifying any two vertices) leads to a decrease in the domination number. In this concise paper, we delve into the investigation of these properties and proceed to characterize the dot-critical and totally dot-critical attributes of Harary graphs. © (2024), (Universiti Putra Malaysia). All Rights Reserved.
publisher Universiti Putra Malaysia
issn 18238343
language English
format Article
accesstype All Open Access; Bronze Open Access
record_format scopus
collection Scopus
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