67 citations · 127 across the 4 of their papers we have counts for
4 papers
Coloring intersection graphs of arc-connected sets in the plane
Michał Lasoń, Piotr Micek, Arkadiusz Pawlik +1
A family of sets in the plane is simple if the intersection of its any subfamily is arc-connected, and it is pierced by a line if the intersection of its any member with is…
Coloring triangle-free rectangle overlap graphs with colors
Tomasz Krawczyk, Arkadiusz Pawlik, Bartosz Walczak
Recently, it was proved that triangle-free intersection graphs of line segments in the plane can have chromatic number as large as . Essentially the same constru…
Triangle-free geometric intersection graphs with large chromatic number
Arkadiusz Pawlik, Jakub Kozik, Tomasz Krawczyk +4
Several classical constructions illustrate the fact that the chromatic number of a graph can be arbitrarily large compared to its clique number. However, until very recently, no su…
Triangle-free intersection graphs of line segments with large chromatic number
Arkadiusz Pawlik, Jakub Kozik, Tomasz Krawczyk +4
In the 1970s, Erdos asked whether the chromatic number of intersection graphs of line segments in the plane is bounded by a function of their clique number. We show the answer is n…