Transforming complex network to the acyclic one

TL;DR

This paper introduces an algorithm to convert undirected complex networks into acyclic networks, enabling better analysis of their structure, communities, and vulnerabilities.

Contribution

The paper presents a novel algorithm for transforming undirected networks into acyclic ones and introduces a new parameter to identify vulnerable nodes.

Findings

Algorithm effectively transforms networks into acyclic structures

Enables identification of communities and key nodes

Proposes a new vulnerability parameter

Abstract

Acyclic networks are a class of complex networks in which links are directed and don't have closed loops. Here we present an algorithm for transforming an ordinary undirected complex network into an acyclic one. Further analysis of an acyclic network allows finding structural properties of the network. With our approach one can find the communities and key nodes in complex networks. Also we propose a new parameter of complex networks which can mark most vulnerable nodes of the system. The proposed algorithm can be applied to finding communities and bottlenecks in general complex networks.