A Note on α-Drawable k-Trees

Abstract : We study the problem of realizing a given graph as an $\alpha$-complex of a set of points in the plane. We study the realizability problem for trees and $2$-trees. In the case of $2$-trees, we confine our attention to the realizability of graphs as the $\alpha$-complex minus faces of dimension two; in other words, realizability of the graph in terms of the $1$-skeleton of the $\alpha$-complex of the point set. We obtain both positive (realizability) and negative (non-realizability) results.
Type de document :
Communication dans un congrès
CCCG'08: Canadian Conference on Computational Geometry, Canada. pp.23-27, 2008
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00324589
Contributeur : Christophe Paul <>
Soumis le : jeudi 25 septembre 2008 - 14:43:27
Dernière modification le : jeudi 11 janvier 2018 - 06:26:13

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  • HAL Id : lirmm-00324589, version 1

Citation

David Bremner, Jonathan Lenchner, Giuseppe Liotta, Christophe Paul, Marc Pouget, et al.. A Note on α-Drawable k-Trees. CCCG'08: Canadian Conference on Computational Geometry, Canada. pp.23-27, 2008. 〈lirmm-00324589〉

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