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Spectra of general hypergraphs

Spectral Theory 2017-01-24 v4 Combinatorics Numerical Analysis

Abstract

Here, we show a method to reconstruct connectivity hypermatrices of a general hypergraph (without any self loop or multiple edge) using tensor. We also study the different spectral properties of these hypermatrices and find that these properties are similar for graphs and uniform hypergraphs. The representation of a connectivity hypermatrix that is proposed here can be very useful for the further development in spectral hypergraph theory.

Keywords

Cite

@article{arxiv.1601.02136,
  title  = {Spectra of general hypergraphs},
  author = {Anirban Banerjee and Arnab Char and Bibhash Mondal},
  journal= {arXiv preprint arXiv:1601.02136},
  year   = {2017}
}

Comments

This paper is already online available at Linear algebra and its application

R2 v1 2026-06-22T12:26:06.848Z