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Publishing Language: Chinese | Open Access

Positive and negative inertia index of a hypertree

Jie WANG( ), Deming LI
School of Mathematical Sciences, Capital Normal University, Beijing 100048
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Abstract

This paper extend the conclusion of the graph to hypergraphs, prove that the positive and negative inertia index of a single hypertree are related to the number of hyperedges and vertices, and give the positive and negative inertia index of two hypertrees connected by a hyperedge.

Keywords

hypertreepositive inertia indexnegative inertia index
CLC number: O157.5 Document code: A

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Journal of Capital Normal University (Natural Science Edition)
Volume 46 Issue 5,
October 2025
Pages 8-12
DOI: 10.19789/j.1004-9398.2025.05.002

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WANG J, LI D. Positive and negative inertia index of a hypertree. Journal of Capital Normal University (Natural Science Edition), 2025, 46(5): 8-12. https://doi.org/10.19789/j.1004-9398.2025.05.002

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Received: 18 July 2023
Published: 01 October 2025
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2025.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).