Combinatorial face enumeration in arrangements and oriented matroids

Combinatorial face enumeration in arrangements and oriented matroids

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Article ID: iaor19912041
Country: Netherlands
Volume: 31
Issue: 2
Start Page Number: 141
End Page Number: 149
Publication Date: Apr 1991
Journal: Discrete Applied Mathematics
Authors: , ,
Abstract:

Let equ1 denote the number of k-dimensional faces of a d-dimensional arrangement equ2 of spheres or a d-dimensional oriented matroid equ3. In this paper the authors show that the following relation among the face numbers is valid:

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