A new subgraph of minimum weight triangulations

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Abstract

In this paper, two sufficient conditions for identifying a subgraph of minimum weight triangulation of a planar point set are presented. These conditions are based on local geometric properties of an identifying edge in the given point set. Unlike the previous known sufficient conditions for identifying subgraphs, such as Keil’s β-skeleton and Yang and Xu’s double circles, The local geometric requirement in our conditions is not necessary symmetric with respect to the edge to be identified. The identified subgraph is different from all the known subgraphs including the newly discovered subgraph: so-called the intersection of local-optimal triangulations by Dickerson, Montague, and Keil. An O(n3) time algorithm for finding this subgraph from a set of n points is presented.

Original languageEnglish
Title of host publicationAlgorithms and Computation - 7th International Symposium, ISAAC 1996, Proceedings
EditorsHiroshi Nagamochi, Satoru Miyano, Tetsuo Asano, Yoshihide Igarashi, Subhash Suri
PublisherSpringer Verlag
Pages256-265
Number of pages10
ISBN (Print)3540620486, 9783540620488
StatePublished - 1996
Event7th International Symposium on Algorithms and Computation, ISAAC 1996 - Osaka, Japan
Duration: 16 Dec 199618 Dec 1996

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1178
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th International Symposium on Algorithms and Computation, ISAAC 1996
Country/TerritoryJapan
CityOsaka
Period16/12/9618/12/96

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