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2004 | OriginalPaper | Buchkapitel

More Efficient Generation of Plane Triangulations

verfasst von : Shin-ichi Nakano, Takeaki Uno

Erschienen in: Graph Drawing

Verlag: Springer Berlin Heidelberg

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In this paper we give an algorithm to generate all biconnected plane triangulations having exactly n vertices including exactly r vertices on the outer face. The algorithm uses O(n) space in total and generates such triangulations without duplications in O(rn) time per triangulation, while the previous best algorithm generates such triangulations in O(r2n) time per triangulation.

Metadaten
Titel
More Efficient Generation of Plane Triangulations
verfasst von
Shin-ichi Nakano
Takeaki Uno
Copyright-Jahr
2004
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-540-24595-7_25

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