Origin and implications of zero degeneracy in networks spectra

TL;DR

This paper investigates the high degeneracy at zero eigenvalues in real-world network spectra, exploring its origins and implications for understanding biological network evolution.

Contribution

It identifies potential reasons for zero eigenvalue degeneracy and compares biological networks with models to shed light on complex system evolution.

Findings

Zero eigenvalue degeneracy varies across networks

Comparison reveals evolutionary insights

Model networks partially replicate biological spectra

Abstract

Spectra of real world networks exhibit properties which are different from the random networks. One such property is the existence of a very high degeneracy at zero eigenvalues. In this work, we provide possible reasons behind occurrence of the zero degeneracy in various networks spectra. Comparison of zero degeneracy in protein-protein interaction networks of six different species and in their corresponding model networks sheds light in understanding the evolution of complex biological systems.