English

On the first and second eigenvalue of finite and infinite uniform hypergraphs

Combinatorics 2015-12-10 v1

Abstract

Lower bounds for the first and the second eigenvalue of uniform hypergraphs which are regular and linear are obtained. One of these bounds is a generalization of the Alon-Boppana Theorem to hypergraphs.

Keywords

Cite

@article{arxiv.1512.02710,
  title  = {On the first and second eigenvalue of finite and infinite uniform hypergraphs},
  author = {Hong-Hai Li and Bojan Mohar},
  journal= {arXiv preprint arXiv:1512.02710},
  year   = {2015}
}

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14 pages