Article
Kyungpook Mathematical Journal 2021; 61(1): 155-168
Published online March 31, 2021
Copyright © Kyungpook Mathematical Journal.
On the Seidel Laplacian and Seidel Signless Laplacian Polynomials of Graphs
Harishchandra S. Ramane*, K. Ashoka and Daneshwari Patil, B. Parvathalu
Department of Mathematics, Karnatak University, Dharwad - 580003, India
e-mail : hsramane@yahoo.com, ashokagonal@gmail.com and daneshwarip@gmail.com
Department of Mathematics, Karnatak University's Karnatak Arts College, Dharwad - 580001, India
e-mail : bparvathalu@gmail.com
Received: July 8, 2020; Revised: August 23, 2020; Accepted: October 5, 2020
We express the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of a graph in terms of the Seidel polynomials of induced subgraphs. Further, we determine the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of the join of regular graphs.
Keywords: Seidel Laplacian polynomial, Seidel signless Laplacian polynomial, join of graphs.