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math.CO2022
Karp's patching algorithm on random perturbations of dense digraphs
Alan Frieze, Peleg Michaeli
We consider the following question. We are given a dense digraph with minimum in- and out-degree at least , where is a constant. We then add random edges to $D_…
math.CO2022★ 1 cited
Fast construction on a restricted budget
Alan Frieze, Michael Krivelevich, Peleg Michaeli
We introduce a model of a controlled random graph process. In this model, the edges of the complete graph are ordered randomly and then revealed, one by one, to a player call…
math.CO2022
Oriented discrepancy of Hamilton cycles
Lior Gishboliner, Michael Krivelevich, Peleg Michaeli
We propose the following conjecture extending Dirac's theorem: if is a graph with vertices and minimum degree , then in every orientation of there is…