On the Classification of Motions of Paradoxically Movable Graphs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F20%3A00347248" target="_blank" >RIV/68407700:21240/20:00347248 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.20382/jocg.v11i1a22" target="_blank" >https://doi.org/10.20382/jocg.v11i1a22</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.20382/jocg.v11i1a22" target="_blank" >10.20382/jocg.v11i1a22</a>

Result language

angličtina

Original language name

On the Classification of Motions of Paradoxically Movable Graphs

Original language description

Edge lengths of a graph are called flexible if there exist infinitely many non-congruent realizations of the graph in the plane satisfying these edge lengths. It has been shown recently that a graph has flexible edge lengths if and only if the graph has a special type of edge coloring called NAC-coloring. We address the question how to determine paradoxical motions of a generically rigid graph, namely, proper flexible edge lengths of the graph. We do so using the set of all NAC-colorings of the graph and restrictions to 4-cycle subgraphs.

Czech name

—

Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10100 - Mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Computational Geometry

ISSN

1920-180X

e-ISSN

—

Volume of the periodical

11

Issue of the periodical within the volume

1

Country of publishing house

CA - CANADA

Number of pages

28

Pages from-to

548-575

UT code for WoS article

000634119900020

EID of the result in the Scopus database

2-s2.0-85104278517