Constructing cospectral hypergraphs
Aida Abiad, Antonina P. Khramova
Abstract
Open-access reader
Aida Abiad, Antonina P. Khramova
Abstract
Open-access reader
Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals which hypergraph properties cannot be deduced from their spectra. In this paper, we show a new method for constructing cospectral uniform hypergraphs using two well-known hypergraph representations: adjacency tensors and adjacency matrices.
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Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals which hypergraph properties cannot be deduced from their spectra. In this paper, we show a new method for constructing cospectral uniform hypergraphs using two well-known hypergraph representations: adjacency tensors and adjacency matrices.
Key concepts: Hypergraph, Adjacency list, Mathematics, Adjacency matrix, Combinatorics, Spectral line, Spectrum (functional analysis), Discrete mathematics