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math.CO2025
Sharp thresholds for higher powers of Hamilton cycles in random graphs
Tamás Makai, Matija Pasch, Kalina Petrova +1
For , we establish that is a sharp threshold for the existence of the -th power of a Hamilton cycle in the binomial random graph model. Our proof…
math.CO2025
Enumeration of regular multipartite hypergraphs
Mikhail Isaev, Tamás Makai, Brendan D. McKay
We determine the asymptotic number of regular multipartite hypergraphs, also known as multidimensional binary contingency tables, for all values of the parameters.