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math.CO2023
Counting oriented trees in digraphs with large minimum semidegree
Felix Joos, Jonathan Schrodt
Let be an oriented tree on vertices with maximum degree at most . If is a digraph on vertices with minimum semidegree $δ^0(G)\geq(\frac12+o(1)…
math.CO2023★ 3 cited
Random perfect matchings in regular graphs
Bertille Granet, Felix Joos
We prove that in all regular robust expanders every edge is asymptotically equally likely contained in a uniformly chosen perfect matching . We also show that given any fixe…