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The line-polytope of a finite affine plane

✍ Scribed by Jean François Maurras

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 182 KB
Volume: 115
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90498-i

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✦ Synopsis

Maurras, J.F., The line-polytope of a finite affine plane, Discrete Mathematics 115 (1993) 2833286.

Let A be an affine plane of order n and let P(A) be the convex hull of the characteristic vectors of the lines of A. We describe P(A) as the intersection of a hyperplane and tin' 1 half-spaces. In addition, we prove that P(A) is (n -1)-neighborly.

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