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Spectral Extremal Results for Hypergraphs
Yuan Hou, An Chang, Joshua Cooper
Let be a graph. A hypergraph is called Berge if it can be obtained by replacing each edge in by a hyperedge containing it. Given a family of graphs , we sa…
A homogeneous polynomial associated with general hypergraphs and its applications
Yuan Hou, An Chang, Lei Zhang
In this paper, we define a homogeneous polynomial for a general hypergraph, and establish a remarkable connection between clique number and the homogeneous polynomial of a general…
The effect on the spectral radius of r-graphs by grafting or contracting edges
Wei Li, An Chang
Let be the set of all connected -graphs with given size . In this paper, we investigate the effect on the spectral radius of -uniform hypergraphs by…
Analytic connectivity of -uniform hypergraphs
An Chang, Joshua Cooper, Wei Li
In this paper, we study the analytic connectivity of a -uniform hypergraph , denoted by . In addition to computing the analytic connectivity of a complete -graph, we…