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math.CO2025
The Tournament Theorem of Rédei revisited
Thomas Schweser, Michael Stiebitz, Bjarne Toft
In 1934 L. Rédei published his famous theorem that the number of Hamiltonian paths in a tournament is odd. In fact it is a corollary of a stronger theorem in his paper. Stronger th…
math.CO2025
Generalized DP-colorings of digraphs
Lucas Picasarri-Arrieta, Michael Stiebitz
In this paper we consider the following three coloring concepts for digraphs. First of all, the generalized coloring concept, in which the same colored vertices of a digraph induce…