Alexander Haupt

activity

20172020

collaborators

4 papers

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.CO2018

Enumeration of $S$ -omino towers and row-convex $k$ -omino towers

Alexander M. Haupt

We first enumerate a generalization of domino towers that was proposed by Tricia M. Brown (J. Integer Seq. 20 (2017)), which we call S-omino towers. We establish equations that the…

math.CO2017

A natural generalisation in graph Ramsey theory

Alexander Haupt, Damian Reding

In this note we study graphs $G_{r}$ with the property that every colouring of $E (G_{r})$ with $r + 1$ colours admits a copy of some graph $H$ using at most $r$ colours. For $1\le r\le e…

Bijective enumeration of rook walks

Combinatorial Proof of Selberg's Integral Formula

Enumeration of S-omino towers and row-convex k-omino towers

A natural generalisation in graph Ramsey theory

Enumeration of $S$ -omino towers and row-convex $k$ -omino towers