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A Simplicial Approach to the Determination of an Integer Point of a Simplex
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A Simplicial Approach to the Determination of an Integer Point of a Simplex
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Journal Article
A Simplicial Approach to the Determination of an Integer Point of a Simplex
1998
Overview
We propose an algorithm to find an integer point of a simplex. The algorithm is based on an integer labeling rule and a triangulation of the space. Starting at an integer point, the algorithm leaves it along one of n rays and generates a sequence of adjacent simplices of varying dimension. Within a finite number of iterations, the algorithm either yields an integer point of the simplex or proves that no such point exists.
Publisher
INFORMS,Institute for Operations Research and the Management Sciences
