3 papers
math.CO2026
Small counterexamples to the fat minor conjecture
Sandra Albrechtsen, Marc Distel, Agelos Georgakopoulos
We narrow the gap between the family of graphs that do and the family of graphs that do not satisfy the fat minor conjecture by obtaining much simpler counterexamples than were pre…
math.CO2025
Excluding as a fat minor
Sandra Albrechtsen, Marc Distel, Agelos Georgakopoulos
We prove that for every , the graph satisfies the fat minor conjecture of Georgakopoulos and Papasoglu: for every there exist $M,A\in…
math.CO2024
Asymptotic half-grid and full-grid minors
Sandra Albrechtsen, Matthias Hamann
We prove that every locally finite, quasi-transitive graph with a thick end whose cycle space is generated by cycles of bounded length contains the full-grid as an asymptotic minor…