Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4949694 | Discrete Applied Mathematics | 2017 | 4 Pages |
Abstract
Let G=(V,E), V={1,2,â¦,n} be a simple graph without isolated vertices, with n(nâ¥3) vertices and m edges, whose vertex degrees are given in the following form d1â¥d2â¥â¯â¥dn>0. If A is the adjacency matrix, the RandiÄ matrix R=âRijâ is defined in the following way Rij={1didjifviandvjare adjacent ,0otherwise . The eigenvalues of matrix R, Ï1â¥Ï2â¥â¯â¥Ïn, are called the RandiÄ eigenvalues of graph G. The RandiÄ energy of graph G, denoted by RE, is defined in the following way: RE=RE(G)=âi=1n|Ïi|. In this paper, upper bounds for graph invariant RE have been studied.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Edin GlogiÄ, Emir ZogiÄ, NataÅ¡a GliÅ¡oviÄ,