Random coloring evolution on graphs

Citation
Chen, Xin Xing et Ying, Jian Gang, Random coloring evolution on graphs, Acta mathematica Sinica. English series (Print) , 26(2), 2010, pp. 369-376
ISSN journal
14398516
Volume
26
Issue
2
Year of publication
2010
Pages
369 - 376
Database
ACNP
SICI code
Abstract
In this short note we study how two colors, red and blue, painted on a given graph are evolved randomly according to a transition rule which aims to simulate how people influence each other. We shall also calculate the probability that the evolution will be trapped eventually using the martingale method.