2 papers
math.CO2026
Brown-Gerver-Ramsey Theorems in Small Dimensions
Stijn Cambie, Erik Kalviainen, J. Shallit
We consider infinite walks in with standard unit basis vector steps that avoid collinear points, and show that these walks exist for $(k,t) \in \{(6,3), (4,4), (…
math.CO2026
An infinite small-step -walk with no collinear triple
Stijn Cambie, Erik Kalviainen
We construct an infinite walk in whose steps come from a fixed set of sixteen vectors and no three of whose vertices are collinear, answering a problem of Gerver and…