Open AccessOn spectral theory of a k-uniform directed hypergraph
Author(s) -
Gholam Hassan Shirdel,
Ameneh Mortezaee,
Effat Golpar-Raboky
Publication year - 2023
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm180213022s
Subject(s) - hypergraph , mathematics , generalization , bipartite graph , spectral properties , combinatorics , notation , discrete mathematics , graph , mathematical analysis , arithmetic , chemistry , computational chemistry
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.