47 citations · 151 across the 69 of their papers we have counts for
7 papers · 1 filter
On signless Laplacian coefficients of bicyclic graphs
Jie Zhang, Xiao-Dong Zhang
Let be a graph of order and be the characteristic polynomial of the signless Laplacian matrix of a graph . We giv…
On signless Laplacian coefficients of unicyclic graphs with given matching number
Jie Zhang, Xiao-Dong Zhang
Let be an unicyclic graph of order and let be the characteristic polynomial of the signless Laplacia…
Sharp Bounds for the Signless Laplacian Spectral Radius in Terms of Clique Number
Bian He, Ya-Lei Jin, Xiao-Dong Zhang
In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain…
Trees with given degree sequences that have minimal subtrees
Xiu-Mei Zhang, Xiao-Dong Zhang
In this paper, we investigate the structures of an extremal tree which has the minimal number of subtrees in the set of all trees with the given degree sequence of a tree. In parti…
The weighted tunable clustering in local-world networks with incremental behaviors
Ying-Hong Ma, Huijia Li, Xiao-Dong Zhang
Since some realistic networks are influenced not only by increment behavior but also by tunable clustering mechanism with new nodes to be added to networks, it is interesting to ch…
Faber-Krahn type inequality for unicyclic graphs
Guang-Jun Zhang, Jie Zhang, Xiao-Dong Zhang
The Faber-Krahn inequality states that the ball has minimal first Dirichlet eigenvalue among all bounded domains with the fixed volume in . In this paper, we investig…