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math.CO2025
On the number of edges of restricted matchstick graphs
Panna Gehér, János Pach, Konrad Swanepoel +1
A graph whose vertices are points in the plane and whose edges are noncrossing straight-line segments of unit length is called a \emph{matchstick graph}. We prove two somewhat coun…
math.CO2024
Canonical theorems in geometric Ramsey theory
Panna Gehér, Arsenii Sagdeev, Géza Tóth
In Euclidean Ramsey Theory usually we are looking for monochromatic configurations in the Euclidean space, whose points are colored with a fixed number of colors. In the canonical…