A chain decomposition algorithm for the proof of a property on minimum weight triangulations

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Abstract

In this paper, a chain decomposition algorithm is proposed and studied. Using this algorithm, we prove a property on minimum weight triangulations of points in the Euclidean plane, which shows that a special kind of line segments must be ira the minimum weight triangulations and in the greedy triangulation of a given point set.

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Bo-Ting, Y., Yin-Feng, X., & Zhao-Yong, Y. (1994). A chain decomposition algorithm for the proof of a property on minimum weight triangulations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 834 LNCS, pp. 423–427). Springer Verlag. https://doi.org/10.1007/3-540-58325-4_207

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