RISC JKU
  • @inproceedings{RISC5478,
    author = {Jose Capco and Georg Grasegger and Matteo Gallet and Christoph Koutschan and Niels Lubbes and Josef Schicho},
    title = {{Computing the number of realizations of a Laman graph}},
    booktitle = {{Electronic Notes in Discrete Mathematics (Proceedings of Eurocomb 2017)}},
    language = {english},
    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.},
    volume = {61},
    pages = {207--213},
    isbn_issn = {ISSN 1571-0653},
    year = {2017},
    editor = {Vadim Lozin},
    refereed = {yes},
    keywords = {Laman graph; minimally rigid graph; tropical geometry; euclidean embedding; graph realization},
    length = {7},
    conferencename = {The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'17)},
    url = {http://www.koutschan.de/data/laman/}
    }