CONJUGATE LAPLACIAN MATRIX OF A GRAPH

BÜYÜKKÖSE Ş., Kabatas U.

JOURNAL OF SCIENCE AND ARTS, sa.2, ss.371-374, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s1793830918500829
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.371-374
  • Gazi Üniversitesi Adresli: Evet

Özet

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.