BOUNDS FOR THE LAPLACIAN EIGENVALUE OF GRAPHS USING 2-ADJACENCY

BÜYÜKKÖSE Ş., Nurkahli S. B.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.175-182, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.175-182
  • Anahtar Kelimeler: 2-adjacency, energy, bound, SPECTRAL-RADIUS, ENERGY
  • Gazi Üniversitesi Adresli: Evet

Özet

Let G be a simple connected graph. We redefine adjacency for any two vertices as defined if there is connected two edges between any two vertices, i and j. This vertices are called two adjacency and denoted by i similar to(2) j. In this study, we defined 2-adjacency Laplacian matrix and denoted by L-similar to 2 (G) from by above definition and we find a lower bound for 2-spectral radius which is denoted by mu(similar to 2)(G) and present an open problem L-similar to 2(G).