7 papers
Counting independent sets in percolated graphs via the Ising model
Anna Geisler, Mihyun Kang, Michail Sarantis +1
Given a graph , we form a random subgraph by including each edge of independently with probability . We provide an asymptotic expansion of the expected number of in…
Block-weighted random graphs: planar and beyond
Mihyun Kang, Zéphyr Salvy, Ronen Wdowinski
We investigate random connected graphs from a block-stable class whose distribution is weighted based on the number of -connected components, or blocks. This includes the class…
Tight constructions for reconfigurations of independent transversals
Ronen Wdowinski
For a graph and partition of its vertex set, an independent transversal of is an independent set of that contains one vertex from each bloc…
Constructing graphs with no independent transversals
Penny Haxell, Ronen Wdowinski
Given a graph and a partition of its vertex set, an independent transversal (IT) is an independent set of that contains one vertex from each block in . Various suffi…
Sampling from the antiferromagnetic Ising model on bipartite, regular expander graphs
Anna Geisler, Mihyun Kang, Michail Sarantis +1
The antiferromagnetic Ising model samples subsets of vertices of a graph with weight decaying exponentially in the number of edges induced. We study the problem of sampling from th…
Bounded degree graphs and hypergraphs with no full rainbow matchings
Ronen Wdowinski
Given a multi-hypergraph that is edge-colored into color classes , a full rainbow matching is a matching of that contains exactly one edge from each color…