Work

The Algebraic Multiplicity of the Spectral Radius of a Uniform Hypertree

Year: 2024

Type: article

Abstract: It is well-known that the spectral radius of a connected uniform hypergraph is an eigenvalue of the hypergraph. However, its algebraic multiplicity remains unknown. In this paper, we use the Poisson Formula and the matching polynomials to give the algebraic multiplicity of the spectral radius of a uniform hypertree.

Source: The Electronic Journal of Combinatorics

DOI: 10.37236/12240

Authors: Lixiang Chen, Changjiang Bu

Institutions: Nankai University, Harbin Engineering University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G2380935209, G4782712072