English

A Measure of the Connection Strengths between Graph Vertices with Applications

Discrete Mathematics 2009-09-24 v1 Data Structures and Algorithms

Abstract

We present a simple iterative strategy for measuring the connection strength between a pair of vertices in a graph. The method is attractive in that it has a linear complexity and can be easily parallelized. Based on an analysis of the convergence property, we propose a mutually reinforcing model to explain the intuition behind the strategy. The practical effectiveness of this measure is demonstrated through several combinatorial optimization problems on graphs and hypergraphs.

Keywords

Cite

@article{arxiv.0909.4275,
  title  = {A Measure of the Connection Strengths between Graph Vertices with Applications},
  author = {Jie Chen and Ilya Safro},
  journal= {arXiv preprint arXiv:0909.4275},
  year   = {2009}
}