Counting independent sets using the Bethe approximation
V Chandrasekaran, M Chertkov, D Gamarnik… - SIAM Journal on Discrete …, 2011 - SIAM
We consider the# P-complete problem of counting the number of independent sets in a
given graph. Our interest is in understanding the effectiveness of the popular belief …
given graph. Our interest is in understanding the effectiveness of the popular belief …
Independent sets from an algebraic perspective
A Dickenstein, EA Tobis - International Journal of Algebra and …, 2012 - World Scientific
In this paper, we study the basic problem of counting independent sets in a graph and, in
particular, the problem of counting antichains in a finite poset, from an algebraic perspective …
particular, the problem of counting antichains in a finite poset, from an algebraic perspective …