Title
On the Q-index and index of triangle-free quasi-tree graphs.
Abstract
A connected graph G is called a quasi-tree graph, if there exists v(0) is an element of V (G) such that G - v(0) is a tree. In this paper, among all triangle-free quasi-tree graphs of order n with G - v(0) being a tree and d(v(0)) = d(0), we determine the maximal and the second maximal signless Laplacian spectral radii together with the corresponding extremal graphs. By an analogous manner, we obtained similar results on the spectral radius of triangle-free quasi-tree graphs.
Year
Venue
Keywords
2016
ARS COMBINATORIA
quasi-tree graph,triangle-free,signless Laplacian,spectral radius
Field
DocType
Volume
Discrete mathematics,Odd graph,Indifference graph,Combinatorics,Tree (graph theory),Partial k-tree,Pathwidth,1-planar graph,Mathematics,Pancyclic graph,Dense graph
Journal
126
ISSN
Citations 
PageRank 
0381-7032
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Shu-Guang Guo112.42
Guanglong Yu22811.07