English

Aligning graphs and finding substructures by a cavity approach

Quantitative Methods 2010-04-02 v2 Statistical Mechanics Data Structures and Algorithms

Abstract

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The algorithm allows to analyze large graphs and may find applications in fields such as computational biology. As a proof of concept we use our algorithm to align the similarity graphs of two interacting protein families involved in bacterial signal transduction, and to predict actually interacting protein partners between these families.

Keywords

Cite

@article{arxiv.0905.1893,
  title  = {Aligning graphs and finding substructures by a cavity approach},
  author = {S. Bradde and A. Braunstein and H. Mahmoudi and F. Tria and M. Weigt and R. Zecchina},
  journal= {arXiv preprint arXiv:0905.1893},
  year   = {2010}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T13:01:18.658Z