Geodesic
The algebraic multiplicity of the spectral radius of a uniform hypertree
The electronic journal of combinatorics, Tome 31 (2024) no. 4
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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.
DOI : 10.37236/12240
Classification : 05C50, 05C65
Mots-clés : spectral radius of a connected uniform hypergraph 
@article{10_37236_12240,
     author = {Lixiang Chen and Changjiang Bu},
     title = {The algebraic multiplicity of the spectral radius of a uniform hypertree},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/12240},
     zbl = {1551.05241},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12240/}
}
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Lixiang Chen; Changjiang Bu. The algebraic multiplicity of the spectral radius of a uniform hypertree. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/12240

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