Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges

Yi-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 -