Degree square sum equienergetic and hyperenergetic graphs
Authors :
B. Basavanagoud 1 and E. Chitra 2 *
Author Address :
1,2 Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India.
*Corresponding author.
Abstract :
Degree square sum matrix $DSS(G)$} of a graph $G$ is a square matrix of order equal to the order of a graph $G$ with its $(i,j)^{th}$ entry as ${{d_i}^{2}+{d_j}^{2}}$ if $i\neq j$ and zero otherwise, where $d_i$ is the degree of the $i^{th}$ vertex of $G$. In this paper, we study degree square sum hyperenergetic, degree square sum borderenergetic and degree square sum equienergetic graphs.
Keywords :
Degree square sum matrix, degree square sum polynomial, degree square sum energy, degree square sum hyperenergetic graphs, degree square sum equienergetic graphs.
DOI :
Article Info :
Received : September 27, 2019; Accepted : March 15, 2020.
