Title
Spatial Mixing and Approximation Algorithms for Graphs with Bounded Connective Constant
Abstract
The hard core model in statistical physics is a probability distribution on independent sets in a graph in which the weight of any independent set I is proportional to lambda(|I|), where lambda 0 is the vertex activity. We show that there is an intimate connection between the connective constant of a graph and the phenomenon of strong spatial mixing (decay of correlations) for the hard core model, specifically, we prove that the hard core model with vertex activity lambda;
Year
DOI
Venue
2013
10.1109/FOCS.2013.40
foundations of computer science
Keywords
DocType
Volume
hard core model,strong spatial,spatial mixing,approximation algorithms,vertex activity lambda,vertex activity,independent set,intimate connection,statistical physic,probability distribution,lattice theory,set theory,statistical distributions,approximation theory
Conference
abs/1308.1762
ISSN
Citations 
PageRank 
0272-5428
13
0.69
References 
Authors
7
3
Name
Order
Citations
PageRank
Alistair Sinclair11506308.40
Piyush Srivastava2654.55
Yitong Yin321323.42