Formation of Robust Multi-Agent Networks Through Self-Organizing Random Regular Graphs
Abstract
Multi-agent networks are often modeled as interaction graphs, where the nodes represent the agents and the edges denote some direct interactions. The robustness of a multi-agent network to perturbations such as failures, noise, or malicious attacks largely depends on the corresponding graph. In many applications, networks are desired to have well-connected interaction graphs with relatively small number of links. One family of such graphs is the random regular graphs. In this paper, we present a decentralized scheme for transforming any connected interaction graph with a possibly non-integer average degree of k into a connected random m-regular graph for some m in [k, k + 2]. Accordingly, the agents improve the robustness of the network with a minimal change in the overall sparsity by optimizing the graph connectivity through the proposed local operations.
Keywords
Cite
@article{arxiv.1503.08131,
title = {Formation of Robust Multi-Agent Networks Through Self-Organizing Random Regular Graphs},
author = {A. Yasin Yazicioglu and Magnus Egerstedt and Jeff S. Shamma},
journal= {arXiv preprint arXiv:1503.08131},
year = {2016}
}