47 citations · 151 across the 69 of their papers we have counts for
4 papers · 1 filter
Turán numbers for disjoint paths
Long-Tu Yuan, Xiao-Dong Zhang
The Turán number of a graph , , is the maximum number of edges in any graph of order which does not contain as a subgraph. Lidický, Liu and Palmer determined $e…
Maximum atom-bond connectivity index with given graph parameters
Xiu-Mei Zhang, Yu Yang, Hua Wang +1
The atom-bond connectivity (ABC) index is a degree-based topological index. It was introduced due to its applications in modeling the properties of certain molecular structures and…
A Sharp upper bound for the spectral radius of a nonnegative matrix and applications
Lihua You, Yujie Shu, Xiao-Dong Zhang
In this paper, we obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Lap…
Ordering connected graphs by their Kirchhoff indices
Kexiang Xu, Kinkar Ch. Das, Xiao-Dong Zhang
The Kirchhoff index of a graph is the sum of resistance distances between all unordered pairs of vertices, which was introduced by Klein and Randić. In this paper we ch…