Coefficients of Randic and Sombor characteristic polynomials of some graph types

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dc.contributor.authorÖz, Mehmet Sinan
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-28T13:03:13Z
dc.date.available2022-12-28T13:03:13Z
dc.date.issued2022
dc.description.abstractLet G be a graph. The energy of G is defined as the summation of absolute values of the eigenvalues of the adjacency matrix of G. It is possible to study several types of graph energy originating from defining various adjacency matrices defined by correspondingly different types of graph invariants. The first step is computing the characteristic polynomial of the defined adjacency matrix of G for obtaining the corresponding energy of G. In this paper, formulae for the coefficients of the characteristic polynomials of both the Randic and the Sombor adjacency matrices of path graph Pn , cycle graph Cn are presented. Moreover, we obtain the five coefficients of the characteristic polynomials of both Randic and Sombor adjacency matrices of a special type of 3−regular graph Rn.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage790tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue3tr_TR
dc.identifier.startpage778tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1080426tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86564
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.1080426tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectGraphs, Randic matrix, Sombor matrix, paths, cycles, adjacencytr_TR
dc.titleCoefficients of Randic and Sombor characteristic polynomials of some graph typestr_TR
dc.typeArticletr_TR

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