Title
Computing the number of realizations of a Laman graph.
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 recent 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.
Year
DOI
Venue
2017
10.1016/j.endm.2017.06.040
Electronic Notes in Discrete Mathematics
Keywords
DocType
Volume
Laman graph,minimally rigid graph,tropical geometry,euclidean embedding,graph realization
Journal
61
ISSN
Citations 
PageRank 
1571-0653
2
0.47
References 
Authors
2
6
Name
Order
Citations
PageRank
Jose Capco120.47
Matteo Gallet2145.19
Georg Grasegger3256.98
Christoph Koutschan410420.29
niels lubbes553.08
Josef Schicho6217.70