An Efficiently Computable Lower Bound for the Independence Number of Hypergraphs

TL;DR

This paper presents a new lower bound for the independence number of k-uniform hypergraphs, which is efficiently computable and depends solely on the hypergraph's vertices and edges.

Contribution

The paper introduces a novel lower bound for the independence number of hypergraphs that is easy to compute and relies only on basic hypergraph parameters.

Findings

The lower bound is applicable to any k-uniform hypergraph.

The bound depends only on the number of vertices and edges.

It provides a computationally efficient way to estimate independence numbers.

Abstract

We introduce a lower bound for the independence number of an arbitrary $k$-uniform hypergraph that only depends on the number of vertices and number of edges of the hypergraph.