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math.CO2012
Empty pentagons in point sets with collinearities
János Barát, Vida Dujmović, Gwenaël Joret +5
An empty pentagon in a point set P in the plane is a set of five points in P in strictly convex position with no other point of P in their convex hull. We prove that every finite s…
math.CO2012★ 1 cited
Edge-decomposition of graphs into copies of a tree with four edges
János Barát, Dániel Gerbner
We study edge-decompositions of highly connected graphs into copies of a given tree. In particular we attack the following conjecture by Barát and Thomassen: for each tree , the…