The Extremal Structures of r -Uniform Unicyclic Hypergraphs on the Signless Laplacian Estrada Index

Hongyan Lu and Zhongxun Zhu
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Hongyan Lu: School of Science, Xi Jing University, Xi’an 710123, China
Zhongxun Zhu: College of Mathematics and Statistics, South Central University for Nationalities, Wuhan 430074, China

Mathematics, 2022, vol. 10, issue 6, 1-11

Abstract: S L E E has various applications in a large variety of problems. The signless Laplacian Estrada index of a hypergraph H is defined as S L E E ( H ) = ∑ i = 1 n e λ i ( Q ) , where λ 1 ( Q ) , λ 2 ( Q ) , … , λ n ( Q ) are the eigenvalues of the signless Laplacian matrix of H . In this paper, we characterize the unique r -uniform unicyclic hypergraphs with maximum and minimum S L E E .

Keywords: signless Laplacian Estrada index; signless Laplacian matrix; r-uniform unicyclic hypergraph; semi-edge walk (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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