On spectral theory of a k-uniform directed hypergraph
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Published:2021
Issue:00
Volume:
Page:22-22
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ISSN:1452-8630
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Container-title:Applicable Analysis and Discrete Mathematics
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language:en
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Short-container-title:APPL ANAL DISCRETE M
Author:
Shirdel G.H.1,
Mortezaee A.1,
Golpar-Raboky E.1
Affiliation:
1. Department of Mathematics, University of Qom, Qom, I.R. Iran
Abstract
In this paper, we study a k-uniform directed hypergraph in general form and
introduce its associated tensors. We present different spectral properties
and show that some of them are generalization of the classical results for
undirected hypergraphs. The notation of odd-bipartite directed hypergraph
are presented and some spectral properties and characterizations of them
comparing with ones in undirected hypergraphs are studied. We also
introduce power directed hypergraph and cored directed hypergraph and
investigate their spectral properties.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis