# Bounds and color energy of derived graphs

H. J. Gowtham, Sabitha D'Souza, Pradeep G. Bhat

Research output: Contribution to journalArticle

### Abstract

Let G be a finite connected simple graph. The color energy of a graph G is defined as the sum of absolute values of color eigenvalues of G. The derived graph of a simple graph G, denoted by G\ is a graph having same vertex set as G, in which two vertices are adjacent if and only if their distance in G is two. In this paper, we establish an upper and lower bounds for color energy of a graph and obtain color energy of derived graphs of some families of graphs.

Original language English 199-209 11 Advanced Studies in Contemporary Mathematics (Kyungshang) 29 2 https://doi.org/10.17777/ascm2019.29.2.199 Published - 01-01-2019

### Fingerprint

Graph in graph theory
Energy
Simple Graph
Absolute value
Color
Connected graph
Upper and Lower Bounds
If and only if
Eigenvalue
Vertex of a graph

### All Science Journal Classification (ASJC) codes

• Mathematics(all)

### Cite this

Gowtham, H. J. ; D'Souza, Sabitha ; Bhat, Pradeep G. / Bounds and color energy of derived graphs. In: Advanced Studies in Contemporary Mathematics (Kyungshang). 2019 ; Vol. 29, No. 2. pp. 199-209.
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Bounds and color energy of derived graphs. / Gowtham, H. J.; D'Souza, Sabitha; Bhat, Pradeep G.

In: Advanced Studies in Contemporary Mathematics (Kyungshang), Vol. 29, No. 2, 01.01.2019, p. 199-209.

Research output: Contribution to journalArticle

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