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math.CO2023
The hitting time of clique factors
Annika Heckel, Marc Kaufmann, Noela Müller +1
In a recent paper, Kahn gave the strongest possible, affirmative, answer to Shamir's problem, which had been open since the late 1970s: Let and let be divisible by $…
math.CO2023
The rank of sparse symmetric matrices over arbitrary fields
Remco van der Hofstad, Noela Müller, Haodong Zhu
Let $\FF$ be an arbitrary field and be a sequence of sparse weighted Erdős-Rényi random graphs on vertices with edge probability , where weights from…
math.CO2017
The satisfiability threshold for random linear equations
Peter Ayre, Amin Coja-Oghlan, Pu Gao +1
Let be a random matrix over the finite field with precisely non-zero entries per row and let be a random vector chosen independently of .…