TITLE:
Minimum Covering Randić Energy of a Graph
AUTHORS:
M. R. Rajesh Kanna, R. Jagadeesh
KEYWORDS:
Minimum Covering Set, Minimum Covering Randić Matrix, Minimum Covering Randić Eigenvalues, Minimum Covering Randić Energy
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.6 No.4,
December
5,
2016
ABSTRACT: Randić energy was first defined in the paper [1]. Using minimum covering set, we have introduced the minimum covering Randić energy REC (G) of a graph G in this paper. This paper contains computation of minimum covering Randić energies for some standard graphs like star graph, complete graph, thorn graph of complete graph, crown graph, complete bipartite graph, cocktail graph and friendship graphs. At the end of this paper, upper and lower bounds for minimum covering Randić energy are also presented.