On the signless Laplacian spectral radius of digraphs
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
CHARLES BABBAGE RES CTR
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let G = (V, E) be a digraph with n vertices and m arcs without loops and multiarcs, V = {v(1), v(2), ... , v(n)}. Denote the outdegree and average 2-outdegree of the vertex v(i) by d(i)(+) and m(i)(+), respectively. Let A (G) be the adjacency matrix and D (G) = diag (d(1)(+), d(2)(+), ... , d(n)(+)) be the diagonal matrix with outdegree of the vertices of the digraph G. Then we call Q (G) = D (G) + A (G) signless Laplacian matrix of G. In this paper, we obtain some upper and lower bounds for the spectral radius of Q (G) which is called signless Laplacian spectral radius of G. We also show that some bounds involving outdegrees and the average 2-outdegrees of the vertices of G can be obtained from our bounds.
Açıklama
Anahtar Kelimeler
Kaynak
ARS COMBINATORIA
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
108
