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arXiv · 2002.04415

The linear unicyclic hypergraph with the second or third largest spectral radius

Chao Ding·Yi-Zheng Fan·Jiang-Chao Wan
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Abstract

The spectral radius of a uniform hypergraph is defined to be that of the adjacency tensor the hypergraph. It is known that the unique unicyclic hypergraph with the largest spectral radius is a nonlinear hypergraph, and the unique linear unicyclic hypergraph with the largest spectral radius is a power hypergraph. In this paper we determine the the unique linear unicyclic hypergraph with the second or third largest spectral radius, where the former hypergraph is a power hypergraph and the latter hypergraph is a non-power hypergraph.

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Chao Ding, Yi-Zheng Fan, Jiang-Chao Wan. 2020-02-09. The linear unicyclic hypergraph with the second or third largest spectral radius. https://doi.org/10.1007/s10114-020-0089-4

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