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Energy of strongly connected digraphs whose underlying graph is a cycle

dc.creatorMonsalve, Juan
dc.creatorRada, Juan
dc.date2017-03-23
dc.date.accessioned2019-11-14T11:59:17Z
dc.date.available2019-11-14T11:59:17Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1317
dc.identifier10.4067/S0716-09172016000400003
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113108
dc.descriptionThe energy of a digraph is defined as E (D) =∑1n|Re (zk)|, where z1,..., znare the eigenvalues of the adjacency matrix of D. This is a generalization of the concept of energy introduced by I. Gutman in 1978 [3]. When the characteristic polynomial ofa digraph D is ofthe formwhere bo (D) = 1 and bk(D) ≥ 0 for all k, we show thatThis expression for the energy has many applications in the study of extremal values of the energy in special classes of digraphs. In this paper we consider the set D* (Cn) of all strongly connected digraphs whose underlying graph is the cycle Cn, and characterize those whose characteristic polynomial is ofthe form (0.1). As a consequence, we find the extremal values ofthe energy based on (0.2).es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/1317/1029
dc.rightsDerechos de autor 2016 Proyecciones. Journal of Mathematicses-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 35 No 4 (2016); 395-404en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 35 Núm. 4 (2016); 395-404es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectDigraphses-ES
dc.subjectenergyes-ES
dc.subjectcharacteristic polynomiales-ES
dc.subjectstrongly connectedes-ES
dc.subjectdirected cycleses-ES
dc.subjectdígrafoses-ES
dc.subjectenergíaes-ES
dc.subjectpolinomialeses-ES
dc.subjectciclos dirigidoses-ES
dc.subjectfuertemente conectadoses-ES
dc.titleEnergy of strongly connected digraphs whose underlying graph is a cyclees-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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