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math.CO2026
On rigidity properties of unit-distance graphs
Sean Dewar, Georg Grasegger, Alison La Porta +2
A unit-distance graph is a graph which admits a realisation in Euclidean space in which every edge has unit length. Imposing further geometric conditions on the non-edges gives a f…
math.CO2026
The minimum degree question for the Maker Breaker Domination Game
Jakob Führer, Georg Grasegger, Paul Hametner +1
The Maker Breaker Domination Game is a two player game played on a graph in which the players take turns to claim a vertex from the graph. The aim of the Dominator is to claim…