Bounds for various graph energies

In this paper, we obtain some upper and lower bounds for the spectral radius of some special matrices such as maximum degree, minimum degree, Randic, sum-connectivity, degree sum, degree square sum, first Zagreb and second Zagreb matrices of a simple connected graph G by the help of matrix theory. W...

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Main Authors: Sevgi Emre, Özkan Kızılırmak Gül, Büyükköse Şerife, Cangul Ismail Naci
Format: Article
Language:English
Published: EDP Sciences 2022-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01003.pdf
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author Sevgi Emre
Özkan Kızılırmak Gül
Büyükköse Şerife
Cangul Ismail Naci
author_facet Sevgi Emre
Özkan Kızılırmak Gül
Büyükköse Şerife
Cangul Ismail Naci
author_sort Sevgi Emre
collection DOAJ
description In this paper, we obtain some upper and lower bounds for the spectral radius of some special matrices such as maximum degree, minimum degree, Randic, sum-connectivity, degree sum, degree square sum, first Zagreb and second Zagreb matrices of a simple connected graph G by the help of matrix theory. We also get some upper bounds for the corresponding energies of G.
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spelling doaj.art-cd7121f6ed98491090f1a309b6184f912022-12-22T03:43:44ZengEDP SciencesITM Web of Conferences2271-20972022-01-01490100310.1051/itmconf/20224901003itmconf_icamnm2022_01003Bounds for various graph energiesSevgi Emre0Özkan Kızılırmak Gül1Büyükköse Şerife2Cangul Ismail Naci3Department of Mathematics, Faculty of Science, Gazi UniversityDepartment of Mathematics, Faculty of Science, Gazi UniversityDepartment of Mathematics, Faculty of Science, Gazi UniversityDepartment of Mathematics, Faculty of Arts and Science, Bursa Uludag UniversityIn this paper, we obtain some upper and lower bounds for the spectral radius of some special matrices such as maximum degree, minimum degree, Randic, sum-connectivity, degree sum, degree square sum, first Zagreb and second Zagreb matrices of a simple connected graph G by the help of matrix theory. We also get some upper bounds for the corresponding energies of G.https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01003.pdf
spellingShingle Sevgi Emre
Özkan Kızılırmak Gül
Büyükköse Şerife
Cangul Ismail Naci
Bounds for various graph energies
ITM Web of Conferences
title Bounds for various graph energies
title_full Bounds for various graph energies
title_fullStr Bounds for various graph energies
title_full_unstemmed Bounds for various graph energies
title_short Bounds for various graph energies
title_sort bounds for various graph energies
url https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01003.pdf
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