On α- spectral theory of a directed k-uniform hypergraph
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519.179.1 (9)
Combinatorial analysis. Graph theory (114)
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SHIRDEL, Gholam Hasan, MORTEZAEE, Ameneh, GOLPAR-RABOKY, Effat. On α- spectral theory of a directed k-uniform hypergraph. In: Computer Science Journal of Moldova, 2020, nr. 2(83), pp. 201-219. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 2(83) / 2020 / ISSN 1561-4042 /ISSNe 2587-4330

On α- spectral theory of a directed k-uniform hypergraph

CZU: 519.179.1
MSC 2010: 05C65, 15A18.

Pag. 201-219

Shirdel Gholam Hasan, Mortezaee Ameneh, Golpar-Raboky Effat
 
University of Qom
 
 
Disponibil în IBN: 14 septembrie 2020


Rezumat

In this paper, we study a k-uniform directed hypergraph in general form and introduce its adjacency tensor, Laplacian tensor and signless Laplacian tensor. For the k-uniform directed hypergraph H and 0 ≤ α < 1 the convex linear combination of D and A has been defined as Aα = αD + (1 − α)A, where D and A are the degree tensor and the adjacency tensor of H, respectively. We propose some spectral properties of Aα. We also introduce power directed hypergraph and cored directed hypergraph and investigate their α-spectral properties.

Cuvinte-cheie
Directed Hypergraph, Adjacency tensor, Laplacian tensor, Signless Laplacian tensor, Eigenvalue, α-spectral theory, Odd-bipartite Hypergraph