Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

Cunxiang Duan; Edwin R. van Dam; Ligong Wang

doi:10.1080/03081087.2026.2714052

Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

Cunxiang Duan
, Edwin R. van Dam
, Ligong Wang

School of Mathematics and Statistics

Taiyuan University of Technology
Northwestern Polytechnical University Xian
Tilburg University

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.

Original language	English
Journal	Linear and Multilinear Algebra
DOIs	https://doi.org/10.1080/03081087.2026.2714052
State	Accepted/In press - 2026

Keywords

Estrada index
Hypergraphs
Laplacian eigenvalue
Laplacian energy
signless Laplacian eigenvalue
trace

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10.1080/03081087.2026.2714052

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title = "Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs",

abstract = "We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.",

keywords = "Estrada index, Hypergraphs, Laplacian eigenvalue, Laplacian energy, signless Laplacian eigenvalue, trace",

author = "Cunxiang Duan and \{van Dam\}, \{Edwin R.\} and Ligong Wang",

note = "Publisher Copyright: {\textcopyright} 2026 The Author(s). Published by Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2026",

doi = "10.1080/03081087.2026.2714052",

language = "英语",

journal = "Linear and Multilinear Algebra",

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TY - JOUR

T1 - Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

AU - Duan, Cunxiang

AU - van Dam, Edwin R.

AU - Wang, Ligong

PY - 2026

Y1 - 2026

N2 - We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.

AB - We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.

KW - Estrada index

KW - Hypergraphs

KW - Laplacian eigenvalue

KW - Laplacian energy

KW - signless Laplacian eigenvalue

KW - trace

UR - https://www.scopus.com/pages/publications/105046832333

U2 - 10.1080/03081087.2026.2714052

DO - 10.1080/03081087.2026.2714052

M3 - 文章

AN - SCOPUS:105046832333

SN - 0308-1087

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

ER -

Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

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Keywords

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