On the spectrum of directed uniform and non-uniform hypergraphs

Anirban Banerjee; Arnab Char

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arXiv · 1710.06367

On the spectrum of directed uniform and non-uniform hypergraphs

Anirban Banerjee·Arnab Char

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Abstract

Here, we suggest a method to represent general directed uniform and non-uniform hypergraphs by different connectivity tensors. We show many results on spectral properties of undirected hypergraphs also hold for general directed uniform hypergraphs. Our representation of a connectivity tensor will be very useful for the further development in spectral theory of directed hypergraphs. At the end, we have also introduced the concept of weak* irreducible hypermatrix to better explain connectivity of a directed hypergraph.

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BibTeX RIS

Anirban Banerjee, Arnab Char. 2017-10-17. On the spectrum of directed uniform and non-uniform hypergraphs. https://arxiv.org/abs/1710.06367

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