5 citations · 32 across the 42 of their papers we have counts for
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Expansion in supercritical random subgraphs of the hypercube and its consequences
Joshua Erde, Mihyun Kang, Michael Krivelevich
It is well-known that the behaviour of a random subgraph of a -dimensional hypercube, where we include each edge independently with probability , undergoes a phase transition…
Duality and tangles of set separations
Reinhard Diestel, Christian Elbracht, Joshua Erde +1
Applications of tangles of connectivity systems suggest a duality between these, in which for two sets and the elements of map to subsets of , and the…
Expansion, long cycles, and complete minors in supercritical random subgraphs of the hypercube
Joshua Erde, Mihyun Kang, Michael Krivelevich
Analogous to the case of the binomial random graph , it is known that the behaviour of a random subgraph of a -dimensional hypercube, where we include each edge indepe…
Component behaviour and excess of random bipartite graphs near the critical point
Tuan Anh Do, Joshua Erde, Mihyun Kang +1
The binomial random bipartite graph is the random graph formed by taking two partition classes of size and including each edge between them independently with probab…