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Adjacency energy of hypergraphs

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In this paper, we define and obtain several properties of the (adjacency) energy of a hypergraph. In particular, bounds for this energy are obtained as functions of structural and spectral parameters, such as Zagreb index and spectral radius. We also study how the energy of a hypergraph varies when a vertex/edge is removed or when an edge is divided. In addition, we solve the extremal problem energy for the class of hyperstars, and show that the energy of a hypergraph is never an odd number.(c) 2022 Elsevier Inc. All rights reserved.

HypergraphsAdjacency energyEdge divisionPower graphSPECTRAL-RADIUSGRAPH

Cardoso, Kaue、Del-Vecchio, Renata、Portugal, Lucas、Trevisan, Vilmar

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Inst Fed Rio Grande Sul

Univ Fed Fluminense

Univ Fed Rio Grande do Sul

2022

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN:0024-3795
年,卷(期):2022.648
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