# Spectral radius of uniform hypergraphs and degree sequences

**Authors:** Dongmei Chen, Zhibing Chen, Xiao-Dong Zhang

arXiv: 1702.06350 · 2017-02-22

## TL;DR

This paper establishes new upper bounds for the spectral radii of uniform hypergraphs' adjacency and signless Laplacian matrices based on their degree sequences, advancing spectral hypergraph theory.

## Contribution

It introduces novel bounds relating spectral radii to degree sequences in uniform hypergraphs, filling gaps in spectral hypergraph analysis.

## Key findings

- Derived upper bounds for spectral radii based on degree sequences
- Extended spectral bounds to both adjacency and signless Laplacian matrices
- Enhanced understanding of spectral properties in uniform hypergraphs

## Abstract

In this paper, we present several upper bounds for the adjacency and signless Laplacian spectral radii of uniform hypergraphs in terms of degree sequences.

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1702.06350/full.md

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Source: https://tomesphere.com/paper/1702.06350