Dennis Clemens

activity

20122026

most citedCreating cycles in Walker-Breaker games

8 citations · 31 across the 24 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

Ramsey-type results for Maker-Breaker games

Alexander Allin, Juri Barkey, Dennis Clemens

A graph $G$ is minimal Ramsey for a graph $H$ if every $2$ -colouring of the edges of $G$ contains a monochromatic copy of $H$ , but for every proper subgraph of $G$ , there is a $2$ -…

math.CO2026

On Ramsey-type problems for paths and cycles with few colour changes

Peter Allen, Julia Böttcher, Dennis Clemens +3

In 1967, Gerencser and Gyárfás determined the exact values of the two-colour Ramsey numbers of paths. In a footnote, they made the following observation: Every $2$ -edge-coloured co…

math.CO2026

Rainbow connectivity Maker-Breaker game

Juri Barkey, Bruno Borchardt, Dennis Clemens +3

We study biased Maker-Breaker games on a graph system ${G_{1}, \dots, G_{s}}$ , in which Maker's goal is to claim certain rainbow structures, i.e., specified subgraphs consisting of at…