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No Selection Lemma for Empty Triangles
Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz +1
Let be a set of points in general position in the plane. The Second Selection Lemma states that for any family of triangles spanned by , there exists a point of…
Plane Spanning Trees in Edge-Colored Simple Drawings of
Oswin Aichholzer, Michael Hoffmann, Johannes Obenaus +5
Károlyi, Pach, and Tóth proved that every 2-edge-colored straight-line drawing of the complete graph contains a monochromatic plane spanning tree. It is open if this statement gene…
Empty Rainbow Triangles in -colored Point Sets
Ruy Fabila-Monroy, Daniel Perz, Ana Laura Trujillo-Negrete
Let be a set of points in general position in the plane. Suppose that each point of has been assigned one of possible colors and that there is the same number…