On a conjecture concerning total domination subdivision number in graphs

Let be the total domination number and let be the total domination subdivision number of a graph G with no isolated vertex. In this paper, we show that for some classes of graphs G, which partially solve the conjecture presented by Favaron et al.

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Autores principales: S. Kosari, Z. Shao, R. Khoeilar, H. Karami, S. M. Sheikholeslami, G. Hao
Formato: article
Lenguaje:EN
Publicado: Taylor & Francis Group 2021
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Acceso en línea:https://doaj.org/article/38ee183da1c74904bf53a6b123916aff
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spelling oai:doaj.org-article:38ee183da1c74904bf53a6b123916aff2021-11-11T14:23:41ZOn a conjecture concerning total domination subdivision number in graphs0972-86002543-347410.1080/09728600.2021.1985386https://doaj.org/article/38ee183da1c74904bf53a6b123916aff2021-09-01T00:00:00Zhttp://dx.doi.org/10.1080/09728600.2021.1985386https://doaj.org/toc/0972-8600https://doaj.org/toc/2543-3474Let be the total domination number and let be the total domination subdivision number of a graph G with no isolated vertex. In this paper, we show that for some classes of graphs G, which partially solve the conjecture presented by Favaron et al.S. KosariZ. ShaoR. KhoeilarH. KaramiS. M. SheikholeslamiG. HaoTaylor & Francis Grouparticletotal dominationtotal domination subdivision numberclaw-free graphsMathematicsQA1-939ENAKCE International Journal of Graphs and Combinatorics, Vol 0, Iss 0, Pp 1-4 (2021)
institution DOAJ
collection DOAJ
language EN
topic total domination
total domination subdivision number
claw-free graphs
Mathematics
QA1-939
spellingShingle total domination
total domination subdivision number
claw-free graphs
Mathematics
QA1-939
S. Kosari
Z. Shao
R. Khoeilar
H. Karami
S. M. Sheikholeslami
G. Hao
On a conjecture concerning total domination subdivision number in graphs
description Let be the total domination number and let be the total domination subdivision number of a graph G with no isolated vertex. In this paper, we show that for some classes of graphs G, which partially solve the conjecture presented by Favaron et al.
format article
author S. Kosari
Z. Shao
R. Khoeilar
H. Karami
S. M. Sheikholeslami
G. Hao
author_facet S. Kosari
Z. Shao
R. Khoeilar
H. Karami
S. M. Sheikholeslami
G. Hao
author_sort S. Kosari
title On a conjecture concerning total domination subdivision number in graphs
title_short On a conjecture concerning total domination subdivision number in graphs
title_full On a conjecture concerning total domination subdivision number in graphs
title_fullStr On a conjecture concerning total domination subdivision number in graphs
title_full_unstemmed On a conjecture concerning total domination subdivision number in graphs
title_sort on a conjecture concerning total domination subdivision number in graphs
publisher Taylor & Francis Group
publishDate 2021
url https://doaj.org/article/38ee183da1c74904bf53a6b123916aff
work_keys_str_mv AT skosari onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
AT zshao onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
AT rkhoeilar onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
AT hkarami onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
AT smsheikholeslami onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
AT ghao onaconjectureconcerningtotaldominationsubdivisionnumberingraphs
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