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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2227-7390/10/6/941/pdf
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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
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Mathematics
Article . 2022
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The Extremal Structures of r-Uniform Unicyclic Hypergraphs on the Signless Laplacian Estrada Index

descriptionPublicationkeyboard_double_arrow_right Article 15 Mar 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 941 (eissn: 2227-7390, Copyright policy )
Authors: Lu, Hongyan; Zhu, Zhongxun;

doi: 10.3390/math10060941

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

Abstract

SLEE has various applications in a large variety of problems. The signless Laplacian Estrada index of a hypergraph H is defined as SLEE(H)=∑i=1neλi(Q), where λ1(Q),λ2(Q),…,λn(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 SLEE.

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Keywords

r-uniform unicyclic hypergraph, QA1-939, signless Laplacian matrix, signless Laplacian Estrada index, Mathematics, semi-edge walk

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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