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On the number of edges of restricted matchstick graphs

Gehér, Panna et al.
arXiv (All) · Papers
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combinatorics
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 counterintuitive results concerning the maximum number of edges of such graphs in two different scenarios. First, we show th
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