2 citations · 3 across the 12 of their papers we have counts for
10 papers
Spectral expansion properties of pseudorandom bipartite graphs
Dandan Fan, Xiaofeng Gu, Huiqiu Lin
An -biregular bipartite graph is a bipartite graph with bipartition such that each vertex in has degree and each vertex in has degree . By the bipart…
On the spectral extremal problem of planar graphs
Xiaolong Wang, Xueyi Huang, Huiqiu Lin
The spectral extremal problem of planar graphs has aroused a lot of interest over the past three decades. In 1991, Boots and Royle [Geogr. Anal. 23(3) (1991) 276--282] (and Cao and…
Spectral extremal results on trees
Longfei Fang, Huiqiu Lin, Jinlong Shu +1
Let be the maximum spectral radius over all -free graphs of order , and be the family of -free graphs of order with spectral radius…
Toughness and spectral radius in graphs
Yuanyuan Chen, Dandan Fan, Huiqiu Lin
The Brouwer's toughness conjecture states that every -regular connected graph always has where is the second largest absolute eigenvalue of the adjacency…
l-connectivity, l-edge-connectivity and spectral radius of graphs
Dandan Fan, Xiaofeng Gu, Huiqiu Lin
Let G be a connected graph. The toughness of G is defined as t(G)=min{\frac{|S|}{c(G-S)}}, in which the minimum is taken over all proper subsets S\subset V(G) such that c(G-S)\geq…
The largest eigenvalue of -free signed graphs
Yongang Wang, Huiqiu Lin
Let be the set of all negative . For odd cycle, Wang, Hou and Li [29] gave a spectral condition for the existence of negative in unbalanced signed…