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Computing the number of realizations of a Laman graph (1707.03633v2)
Published 12 Jul 2017 in math.CO and cs.CG
Abstract: Laman graphs model planar frameworks which are rigid for a general choice of distances between the vertices. There are finitely many ways, up to isometries, to realize a Laman graph in the plane. In a paper we provide a recursion formula for this number of realizations using ideas from algebraic and tropical geometry. Here, we present a concise summary of this result focusing on the main ideas and the combinatorial point of view.