CONJUGATE LAPLACIAN MATRIX OF A GRAPH


BÜYÜKKÖSE Ş., Kabatas U.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.371-374, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1142/s1793830918500829
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index, Scopus
  • Page Numbers: pp.371-374

Abstract

Let G be a simple graph of order n. Let c = a + b root m and (c)over-bar = a - b root m, where a and b are two nonzero integers and m is a positive integer such that m is not a perfect square. Let P-L(G) (lambda) = vertical bar lambda I - L(G)vertical bar is denote the Laplacian characteristic polynomial of a graph G. In this study we define that L-c = [l(ij)(c)] is the conjugate Laplacian matrix of the graph G and define that P-L(G)(c) (lambda) = vertical bar(lambda)I - L-c(G)vertical bar is called the conjugate Laplacian characteristic polynomial of a graph G and study their properties.