# Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges

Yi-Zheng Fan; Ying-Ying Tan; Xi-Xi Peng; An-Hong Liu

Discussiones Mathematicae Graph Theory (2016)

- Volume: 36, Issue: 4, page 845-856
- ISSN: 2083-5892

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topYi-Zheng Fan, et al. "Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges." Discussiones Mathematicae Graph Theory 36.4 (2016): 845-856. <http://eudml.org/doc/287058>.

@article{Yi2016,

abstract = {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.},

author = {Yi-Zheng Fan, Ying-Ying Tan, Xi-Xi Peng, An-Hong Liu},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {tensor; spectral radius; unicyclic hypergraph; bicyclic hypergraph; girth},

language = {eng},

number = {4},

pages = {845-856},

title = {Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges},

url = {http://eudml.org/doc/287058},

volume = {36},

year = {2016},

}

TY - JOUR

AU - Yi-Zheng Fan

AU - Ying-Ying Tan

AU - Xi-Xi Peng

AU - An-Hong Liu

TI - Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges

JO - Discussiones Mathematicae Graph Theory

PY - 2016

VL - 36

IS - 4

SP - 845

EP - 856

AB - 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.

LA - eng

KW - tensor; spectral radius; unicyclic hypergraph; bicyclic hypergraph; girth

UR - http://eudml.org/doc/287058

ER -

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