Spectral study of the Geometric-Arithmetic Index

Rodríguez García, José Manuel; Sigarreta Almira, José María

Publication:
Spectral study of the Geometric-Arithmetic Index

dc.affiliation.dpto	UC3M. Departamento de Matemáticas	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Análisis Aplicado	es
dc.contributor.author	Rodríguez García, José Manuel
dc.contributor.author	Sigarreta Almira, José María
dc.contributor.funder	Ministerio de Economía y Competitividad (España)	es
dc.date.accessioned	2022-06-10T09:45:12Z
dc.date.available	2022-06-10T09:45:12Z
dc.date.issued	2015-07-01
dc.description.abstract	The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. One of the main aims of algebraic graph theory is to determine how, or whether, properties of graphs are reected in the algebraic properties of some matrices. The aim of this paper is to study the geometric-arithmetic index GA1 from an algebraic viewpoint. Since this index is related to the degree of the vertices of the graph, our main tool will be an appropriate matrix that is a modification of the classical adjacency matrix involving the degrees of the vertices.	en
dc.description.sponsorship	Supported in part by a grant from Ministerio de Economía y Competititvidad (MTM 2013-46374-P), Spain, and by a grant from CONACYT (CONACYT-UAG I0110/62/10), México.	en
dc.description.status	Publicado	es
dc.format.extent	14
dc.identifier.bibliographicCitation	MATCH-Communications in Mathematical and in Computer Chemistry, (2015), 74(1), 121-135.	en
dc.identifier.issn	0340-6253
dc.identifier.publicationfirstpage	121
dc.identifier.publicationissue	1
dc.identifier.publicationlastpage	135
dc.identifier.publicationtitle	MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY	en
dc.identifier.publicationvolume	74
dc.identifier.uri	https://hdl.handle.net/10016/35065
dc.identifier.uxxi	AR/0000016841
dc.language.iso	eng	en
dc.publisher	Ivan Gutman, Faculty of Science (University of Kragujevac, Serbia)	en
dc.relation.projectID	Gobierno de España. MTM2013-46374-P	es
dc.relation.publisherversion	https://match.pmf.kg.ac.rs/electronic_versions/Match74/n1/match74n1_121-135.pdf	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject.eciencia	Matemáticas	es
dc.subject.other	Geometric–arithmetic index	en
dc.subject.other	Spectral properties	en
dc.subject.other	Laplacian matrix	en
dc.subject.other	Laplacian eigenvalues	en
dc.subject.other	Topological index	en
dc.subject.other	Graph invariant	en
dc.title	Spectral study of the Geometric-Arithmetic Index	en
dc.type	research article	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication