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The Number of k-Faces of a Simple d-Polytope

✍ Scribed by A. Björner; S. Linusson

Publisher: Springer
Year: 2007
Tongue: English
Weight: 61 KB
Volume: 38
Category: Article
ISSN: 0179-5376
DOI: 10.1007/s00454-007-0382-3

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Define the transportation polytope T n,m to be a polytope of non-negative n × m matrices with row sums equal to m and column sums equal to n. We present a new recurrence relation for the numbers f k of the k-dimensional faces for the transportation polytope T n,n+1 . This gives an efficient algorith