Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 6: 1393 - 1408

DOI: https://doi.org/10.1007/s11464-017-0636-1

RESEARCH ARTICLE

Ordering uniform supertrees by their spectral radii

  • Xiying YUAN , 1 ,
  • Xuelian SI 1 ,
  • Li ZHANG 2
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  • 1. Department of Mathematics, Shanghai University, Shanghai 200444, China
  • 2. School of Statistics and Mathematics, Shanghai Finance University, Shanghai 201209, China

Received date: 03 Apr 2016

Accepted date: 16 Jan 2017

Published date: 27 Nov 2017

Copyright

2017 Higher Education Press and Springer-Verlag GmbH Germany
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Abstract

A supertree is a connected and acyclic hypergraph. For a hypergraph H,the maximal modulus of the eigenvalues of its adjacency tensor is called the spectral radius of H.By applying the operation of moving edges on hypergraphs and the weighted incidence matrix method, we determine the ninth and the tenth k-uniform supertrees with the largest spectral radii among all k-uniform supertrees on nvertices, which extends the known result.

Key words： Uniform hypergraph; adjacency tensor; uniform supertree; spectral radius

Cite this article

Xiying YUAN , Xuelian SI , Li ZHANG . Ordering uniform supertrees by their spectral radii[J]. Frontiers of Mathematics in China, 2017 , 12(6) : 1393 -1408 . DOI: 10.1007/s11464-017-0636-1

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