Hub-integrity polynomial of graphs

Mahde, Sultan Senan; Mathad, Veena

dc.contributor.author	Mahde, Sultan Senan	en_US
dc.contributor.author	Mathad, Veena	en_US
dc.date.accessioned	2020-11-09T13:23:47Z
dc.date.available	2020-11-09T13:23:47Z
dc.date.issued	2020
dc.identifier.citation	Mahde, S. S. & Mathad, V. (2020). Hub-integrity polynomial of graphs. TWMS Journal Of Applied And Engineering Mathematics, 10(2), 434-442.Mathad, Veena	en_US
dc.identifier.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2831
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/105-vol10no2/534
dc.description.abstract	Graph polynomials are polynomials assigned to graphs. Interestingly, they also arise in many areas outside graph theory as well. Many properties of graph polynomials have been widely studied. In this paper, we introduce a new graph polynomial. The hub-integrity polynomial of G is the polynomial HIs(G, x) = Σᴾ i=h hi(G, i)x i , such that hi(G, i) is the number of HI-sets of G of size i, and h is the hub number of G. Some properties of HIs(G, x) and its coefficients are obtained. Also, the hub-integrity polynomial of some specific graphs is computed.	en_US
dc.description.sponsorship	We would like to thank to the anonymous referee(s) for careful reading and constructive suggestions for the improvement in the first draft of this paper.	en_US
dc.language.iso	eng	en_US
dc.publisher	Işık University Press	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	Integrity	en_US
dc.subject	Hub set	en_US
dc.subject	Hub-integrity	en_US
dc.subject	HI-set of a graph G	en_US
dc.subject	HIs-polynomials	en_US
dc.subject	Stirling numbers	en_US
dc.subject	Log-convexity	en_US
dc.subject	Bell polynomials	en_US
dc.title	Hub-integrity polynomial of graphs	en_US
dc.type	article	en_US
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal Of Applied And Engineering Mathematics	en_US
dc.identifier.volume	10
dc.identifier.issue	2
dc.identifier.startpage	434
dc.identifier.endpage	442
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US