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# Randic Color Energy of a Graph

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2017
Authors:
P. Rajendra

P Rajendra. Randic Color Energy of a Graph. International Journal of Computer Applications 171(1):1-5, August 2017. BibTeX

```@article{10.5120/ijca2017914955,
author = {P. Rajendra},
title = {Randic Color Energy of a Graph},
journal = {International Journal of Computer Applications},
issue_date = {August 2017},
volume = {171},
number = {1},
month = {Aug},
year = {2017},
issn = {0975-8887},
pages = {1-5},
numpages = {5},
url = {http://www.ijcaonline.org/archives/volume171/number1/28142-2017914955},
doi = {10.5120/ijca2017914955},
publisher = {Foundation of Computer Science (FCS), NY, USA},
}
```

### 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.

### References

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### Keywords

Colored graph, Randic matrix, Randic color energy

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