Spectral properties of general hypergraphs

2016/05/19 by Bu, Changjiang, Zhou, Jiang, Sun, Lizhu
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.05942

Abstract

In this paper, we investigate spectral properties of the adjacency tensor, Laplacian tensor and signless Laplacian tensor of general hypergraphs (including uniform and non-uniform hypergraphs). We obtain some bounds for the spectral radius of general hypergraphs in terms of vertex degrees, and give spectral characterizations of odd-bipartite hypergraphs.

Related

• The bounds of the spectral radius of general hypergraphs in terms of clique number
• Some spectral properties of uniform hypergraphs
• Some bounds on the eigenvalues of uniform hypergraphs
• Some results on the spectral radii of uniform hypergraphs
• Sharp lower bounds on the spectral radius of uniform hypergraphs concerning degrees