Degree Subtraction Adjacency Polynomial and Energy of Graphs obtained from Complete Graph

  • Harishchandra S. Ramane Department of Mathematics, Karnatak University, Dharwad -580003, India
  • Hemaraddi N. Maraddi Department of Mathematics, Karnatak University, Dharwad -580003, India
  • Daneshwari Patil Department of Mathematics, Karnatak University, Dharwad -580003, India
  • Kavita Bhajantri Department of Mathematics, Karnatak University, Dharwad -580003, India
DOI: https://doi.org/10.34198/ejms.3220.263277

Abstract

The degree subtraction adjacency matrix of a graph G is a square matrix DSA(G) = [dij], in which dij = d(vi) - d(vj), if the vertices vi and vj are adjacent and dij = 0 otherwise, where d(u) is the degree of a vertex u. The DSA energy of a graph is the sum of the absolute values of the eigenvalues of DSA matrix. In this paper, we obtain the characteristic polynomial of the DSA matrix of graphs obtained from the complete graph. Further we study the DSA energy of these graphs.

Published
2020-03-06
How to Cite
Ramane, H. S., Maraddi, H. N., Patil , D., & Bhajantri , K. (2020). Degree Subtraction Adjacency Polynomial and Energy of Graphs obtained from Complete Graph . Earthline Journal of Mathematical Sciences, 3(2), 263-277. https://doi.org/10.34198/ejms.3220.263277
Issue
Vol 3 No 2 (2020)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.