Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420187 | Applied Mathematics and Computation | 2015 | 9 Pages |
Abstract
Let G be a simple graph with vertex set V(G)={v1,v2,â¦,vn}. The RandiÄ matrix of G, denoted by R(G), is defined as the n à n matrix whose (i, j)-entry is (didj)â12 if vi and vj are adjacent and 0 for another cases. Let the eigenvalues of the RandiÄ matrix R(G) be Ï1 ⥠Ï2 ⥠â â â ⥠Ïn which are the roots of the RandiÄ characteristic polynomial âi=1n(ÏâÏi). The RandiÄ energy RE of G is the sum of absolute values of the eigenvalues of R(G). In this paper, we compute the RandiÄ characteristic polynomial and the RandiÄ energy for specific graphs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Saeid Alikhani, Nima Ghanbari,