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math.CO2020
Bijective enumeration of rook walks
Alexander M. Haupt
In this paper we answer a question posed by R. Stanley in his collection of Bijection Proof Problems (Problem 240). We present a bijective proof for the enumeration of walks of len…
math.CO2020
Combinatorial Proof of Selberg's Integral Formula
Alexander Haupt
In this paper we present a combinatorial proof of Selberg's integral formula. We start by giving a bijective proof of a Theorem about the number of topological orders of a certain…
math.CO2020★ 2 cited
Fast Strategies in Waiter-Client Games on
Dennis Clemens, Pranshu Gupta, Fabian Hamann +3
Waiter-Client games are played on some hypergraph , where denotes the family of winning sets. For some bias , during each round of such a game Wai…