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An algorithm for the intersection poset of an arrangement. (English) Zbl 1082.52503
Krejić, N. (ed.) et al., PRIM 2002. Proceedings of the XV conference on applied mathematics, Zlatibor, Yugoslavia, May 26–May 31, 2002. Novi Sad: Univ. of Novi Sad, Faculty of Science, Department of Mathematics and Informatics. 113-118 (2002).
Let A={V 1 ,,V n } be a collection of linear (affine) subspaces in R d . The total space of the arrangement A is the set {V i 1 V i k {i 1 ,,i k }{1,,n}} ordered by inclusion. The authors describe an algorithm for constructing the Hasse diagram of the intersection poset P(A).
MSC:
52C35Arrangements of points, flats, hyperplanes