Geodesic
Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges
Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 4, pp. 845-856

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In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs, linear or power unicyclic hypergraphs with given girth, linear or power bicyclic hypergraphs, respectively.
Keywords: tensor, spectral radius, unicyclic hypergraph, bicyclic hypergraph, girth 
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     title = {Maximizing {Spectral} {Radii} of {Uniform} {Hypergraphs} with {Few} {Edges}},
     journal = {Discussiones Mathematicae. Graph Theory},
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Fan, Yi-Zheng; Tan, Ying-Ying; Peng, Xi-Xi; Liu, An-Hong. Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges. Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 4, pp. 845-856. http://geodesic.mathdoc.fr/item/DMGT_2016_36_4_a5/