Flexible Placements of Graphs with Rotational Symmetry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F22%3A00354258" target="_blank" >RIV/68407700:21240/22:00354258 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-91352-6_9" target="_blank" >https://doi.org/10.1007/978-3-030-91352-6_9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-91352-6_9" target="_blank" >10.1007/978-3-030-91352-6_9</a>

Result language
angličtina
Original language name
Flexible Placements of Graphs with Rotational Symmetry
Original language description
We study the existence of an n-fold rotationally symmetric placement of a symmetric graph in the plane allowing a continuous deformation that preserves the symmetry and the distances between adjacent vertices. We show that such a flexible placement exists if and only if the graph has a NAC-colouring satisfying an additional property on the symmetry; a NAC-colouring is a surjective edge colouring by two colours such that every cycle is either monochromatic, or there are at least two edges of each colour.
Czech name
—
Czech description
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Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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