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Submitted
May 29, 2020
Accepted
January 12, 2021
Published
March 31, 2021
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Abstract

The degree sum exponent distance matrix M(G)of a graph G is a square matrix whose (i,j)-th entry is (di+dj)^ d(ij) whenever i not equal to j, otherwise it is zero, where di is the degree of i-th vertex of G and d(ij)=d(vi,vj) is distance between vi and vj. In this paper, we define degree sum exponent distance energy E(G) as sum of absolute eigenvalues of M(G). Also, we obtain some bounds on the degree sum exponent distance energy of some graphs and deduce direct  expressions for some graphs.

Keywords

Degree sum exponent distance matrix Degree sum exponent distance energy.

Article Details

Author Biographies

Jeetendra Gurjar, Gogte Institute of Technology

Research center mathematics

Assitance Professor 

Sudhir Raghunath Jog, VTU University

Research center Mathematics

Professor

How to Cite
Gurjar, J., & Jog, S. R. (2021). Degree Sum Exponent Distance Energy of Some Graphs. Journal of the Indonesian Mathematical Society, 27(1), 64–74. https://doi.org/10.22342/jims.27.1.931.64-74
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