Geodesic
The maximal spectral radius of the uniform unicyclic hypergraphs with perfect matchings
Filomat, Tome 37 (2023) no. 18, p. 5949

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DOI

Let U(n, k) and Γ(n, k) be respectively the sets of the k-uniform connected linear and nonlinear unicyclic hypergraphs having perfect matchings with n vertices, where n ≥ k(k−1) and k ≥ 3. By using some techniques of transformations and constructing the incidence matrices for the hypergraphs considered, we get the hypergraphs with the maximal spectral radii among three kinds of hypergraphs, namely U(n, k) with n = 2k(k − 1) and n ≥ 9k(k − 1), Γ(n, k) with n ≥ k(k − 1), and U(n, k) ∪ Γ(n, k) with n ≥ 2k(k − 1), where k ≥ 3.
DOI : 10.2298/FIL2318949S
Classification : 05C50
Keywords: Spectral radius, Unicyclic hypergraph, Perfect matching 
Rui Sun; Wen-Huan Wang; Zhen-Yu Ni. The maximal spectral radius of the uniform unicyclic hypergraphs with perfect matchings. Filomat, Tome 37 (2023) no. 18, p. 5949 . doi: 10.2298/FIL2318949S
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     title = {The maximal spectral radius of the uniform unicyclic hypergraphs with perfect matchings},
     journal = {Filomat},
     pages = {5949 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2318949S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318949S/}
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