New results for the detection of bicliques

TL;DR

This paper introduces new algorithms and insights for detecting maximal and maximum bicliques, especially in graphs with small maximum degree, improving computational complexity in practical scenarios.

Contribution

It provides novel algorithms and theoretical insights specifically optimized for graphs with small maximum degree, enhancing efficiency over previous methods.

Findings

Improved algorithms for biclique detection in low-degree graphs

Enhanced computational complexity bounds for specific graph classes

Practical applicability to real-world graph analysis

Abstract

Building on existing algorithms and results, we offer new insights and algorithms for various problems related to detecting maximal and maximum bicliques. Most of these results focus on graphs with small maximum degree, providing improved complexities when this parameter is constant; a common characteristic in real-world graphs.