Graph Vulnerability and Robustness: A Survey

TL;DR

This survey comprehensively reviews graph vulnerability and robustness, comparing measures, attack strategies, and defense techniques across various network types to guide future research and practical applications.

Contribution

It consolidates diverse robustness measures, attack methods, and defense strategies, providing a unified overview across multiple network domains.

Findings

Summarizes and compares key robustness measures.

Identifies effective attack strategies for different network types.

Discusses defense techniques to mitigate network attacks.

Abstract

The study of network robustness is a critical tool in the characterization and sense making of complex interconnected systems such as infrastructure, communication and social networks. While significant research has been conducted in all of these areas, gaps in the surveying literature still exist. Answers to key questions are currently scattered across multiple scientific fields and numerous papers. In this survey, we distill key findings across numerous domains and provide researchers crucial access to important information by--(1) summarizing and comparing recent and classical graph robustness measures; (2) exploring which robustness measures are most applicable to different categories of networks (e.g., social, infrastructure; (3) reviewing common network attack strategies, and summarizing which attacks are most effective across different network topologies; and (4) extensive discussion on selecting defense techniques to mitigate attacks across a variety of networks. This survey guides researchers and practitioners in navigating the expansive field of network robustness, while summarizing answers to key questions. We conclude by highlighting current research directions and open problems.