Degree Sum Exponent Distance Energy of Some Graphs

Main Authors: Gurjar, Jeetendra, Jog, Sudhir Raghunath
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: IndoMS , 2021
Subjects:
Online Access: http://www.jims-a.org/index.php/jimsa/article/view/931
http://www.jims-a.org/index.php/jimsa/article/view/931/pdf
Daftar Isi:
  • 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.