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math.CO2022
Hamilton completion and the path cover number of sparse random graphs
Yahav Alon, Michael Krivelevich
We prove that for every there is such that if , , then with high probability can be covered by at most $(1+\varepsilon)\cdot \…
math.CO2022
The global resilience of Hamiltonicity in
Yahav Alon
Denote by the global resilience of a graph with respect to Hamiltonicity. That is, is the minimal for which there exists a subgrap…