dc.contributor.author | Santhakumaran, A. P. | en_US |
dc.contributor.author | Titus, P. | en_US |
dc.contributor.author | Ganesamoorthy, K. | en_US |
dc.date.accessioned | 2024-01-04T18:37:58Z | |
dc.date.available | 2024-01-04T18:37:58Z | |
dc.date.issued | 2024-01 | |
dc.identifier.citation | Santhakumaran, A. P., Titus, P., Ganesamoorthy, K. (2024). The restrained monophonic number of a graph. TWMS Journal Of Applied And Engineering Mathematics, 14(1), 143-153. | en_US |
dc.identifier.issn | 2146-1147 | en_US |
dc.identifier.issn | 2587-1013 | en_US |
dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5856 | |
dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1162 | |
dc.description.abstract | A set S of vertices of a connected graph G is a monophonic set of G if each vertex v of G lies on a x?y monophonic path for some x and y in S. The minimum cardinality of a monophonic set of G is the monophonic number of G and is denoted by m(G). A restrained monophonic set S of a graph G is a monophonic set such that either S = V or the subgraph induced by V ? S has no isolated vertices. The minimum cardinality of a restrained monophonic set of G is the restrained monophonic number of G and is denoted by mr(G). We determine bounds for it and determine the same for some special classes of graphs. Further, several interesting results and realization theorems are proved. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Işık University Press | en_US |
dc.relation.ispartof | TWMS Journal Of Applied And Engineering Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Monophonic set | en_US |
dc.subject | Monophonic number | en_US |
dc.subject | Restrained monophonic set | en_US |
dc.subject | Restrained monophonic number | en_US |
dc.title | The restrained monophonic number of a graph | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.volume | 14 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 143 | |
dc.identifier.endpage | 153 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |