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math.CO2025
Hall's theorem for reconfigurations and higher dimensional topological connectedness
Ronen Wdowinski
One widely applied sufficient condition for the existence of a colorful simplex in a vertex-colored simplicial complex is a topological extension of Hall's transversal theorem due…
math.CO2025
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…