TY - JOUR

T1 - Bounds and color energy of derived graphs

AU - Gowtham, H. J.

AU - D'Souza, Sabitha

AU - Bhat, Pradeep G.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

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U2 - 10.17777/ascm2019.29.2.199

DO - 10.17777/ascm2019.29.2.199

M3 - Article

AN - SCOPUS:85067599866

VL - 29

SP - 199

EP - 209

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

SN - 1229-3067

IS - 2

ER -