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Symmetry of the eigenvalues of a uniform hypergraph

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时间:2018-11-08  来源:KLMM

题目:            Symmetry of the eigenvalues of a uniform hypergraph

报告人:       胡胜龙(杭州电子科技大学)

时间地点:   2018.11.13  14:00pm  N205

摘要:            In this talk, we will present a generalization of the spectral symmetry theorem of the adjacency matrix of a bipartite graph to the context of uniform hypergraphs. It is based on the higher order trace formulae of eigenvalues of tensors, the Perron-Frobenius theorem of nonnegative tensors, etc. We will show that the multiset of eigenvalues of a connected 3-uniform hypergraph is 3-symmetric if and only if it has a special structure, which could be called a hoop. The discussions can be extended to the symmetry of the eigenvalues of structured matrices, such as Sylvester matrices.

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