10 citations · 15 across the 10 of their papers we have counts for
6 papers · 1 filter
A generalization on spectral extrema of -minor free graphs
Yanting Zhang, Zhenzhen Lou
The spectral extrema problems on forbidding minors have aroused wide attention. Very recently, Zhai and Lin [J. Combin. Theory Ser. B 157 (2022) 184--215] determined the extremal g…
Ordering -indices of graphs: given size and girth
Yarong Hu, Zhenzhen Lou, Qiongxiang Huang
The signless Laplacian matrix in graph spectra theory is a remarkable matrix of graphs, and it is extensively studied by researchers. In 1981, Cvetković pointed directions in…
Spectral radius of graphs with given size and odd girth
Zhenzhen Lou, Lu Lu, Xueyi Huang
Let be the set of graphs with size and odd girth (the length of shortest odd cycle) . In this paper, we determine the graph maximizing the spectral radius…
Graphs with the minimum spectral radius for given independence number
Yarong Hu, Qiongxiang Huang, Zhenzhen Lou
Let be the set of connected graphs with order and independence number . Given , the graph with minimum spectral radius among is…
On the spectral radius of minimally 2-(edge)-connected graphs with given size
Zhenzhen Lou, Min Gao, Qiongxiang Huang
A graph is minimally -connected (-edge-connected) if it is -connected (-edge-connected) and deleting arbitrary chosen edge always leaves a graph which is not -connec…
Maxima of the -index: Graphs with no -minor
Yanting Zhang, Zhenzhen Lou
A graph is said to be \textit{-minor free} if it does not contain as a minor. In this paper, we characteristic the unique extremal graph with maximal -index among all …