Adjacency energy of hypergraphs

Linear Algebra and its Applications(2022)

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摘要
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.
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关键词
05C65,05C50,15A18
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