Randić energy of specific graphs

Saeid Alikhani and Nima Ghanbari

Applied Mathematics and Computation, 2015, vol. 269, issue C, 722-730

Abstract: Let G be a simple graph with vertex set V(G)={v1,v2,…,vn}. The Randić matrix of G, denoted by R(G), is defined as the n × n matrix whose (i, j)-entry is (didj)−12 if vi and vj are adjacent and 0 for another cases. Let the eigenvalues of the Randić matrix R(G) be ρ1 ≥ ρ2 ≥ ⋅⋅⋅ ≥ ρn which are the roots of the Randić characteristic polynomial ∏i=1n(ρ−ρi). The Randić energy RE of G is the sum of absolute values of the eigenvalues of R(G). In this paper, we compute the Randić characteristic polynomial and the Randić energy for specific graphs.

Keywords: Randić matrix; Randić energy; Randić characteristic polynomial; Eigenvalues (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315010346
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:722-730

DOI: 10.1016/j.amc.2015.07.112

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().