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CORR
2011
Springer
138views Education» more  CORR 2011»
12 years 9 months ago
Many collinear k-tuples with no k+1 collinear points
For every k > 3, we give a construction of planar point sets with many collinear k-tuples and no collinear (k + 1)-tuples.
József Solymosi, Milos Stojakovic
CCCG
2009
13 years 6 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
DAM
2011
13 years 7 days ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...