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Randic Color Energy of a Graph
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 171 - Number 1 |
| Year of Publication: 2017 |
| Authors: P. Rajendra |
10.5120/ijca2017914955
|
P. Rajendra . Randic Color Energy of a Graph. International Journal of Computer Applications. 171, 1 ( Aug 2017), 1-5. DOI=10.5120/ijca2017914955
Abstract
Let G = (V,E) be a colored graph with vertex set V(G) and edge set E(G) with chromatic number (G) and di is the degree of a vertex vi. The Randic matrix R(G) = (rij) of a graph G, is defined by rij = 1⁄√didj , if the vertices vi and vj are adjacent and rij = 0, otherwise. The Randic energy [5] RE(G) is the sum of absolute values of the eigenvalues of R(G). The concept of Randic color energy ERC(G) of a colored graph G is defined and obtained the Randic color energy ERC(G) of some graphs with minimum number of colors.
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