The Algebraic Multiplicity of the Spectral Radius of a Uniform Hypertree
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.
Authors
- Changjiang Bu (ORCID: https://orcid.org/0000-0002-9564-5447)
- Lixiang Chen (ORCID: https://orcid.org/0000-0002-6274-1010)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2024-10-18
- DOI
- https://doi.org/10.37236/12240
- Citations
- 2
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.75
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities