@inproceedings{105eca03fc3b4086b1b51c63f5c68861,
title = "Recognition of antimatroidal point sets",
abstract = "The notion of {"}antimatroid with repetition{"} was conceived by Bjorner, Lovasz and Shor in 1991 as a multiset extension of the notion of antimatroid [2]. When the underlying set consists of only two elements, such two-dimensional antimatroids correspond to point sets in the plane. In this research we concentrate on efficient representation of antimatroidal point sets. We define a set of corner points that concisely represents a given antimatroidal point set and show how to reconstruct the antimatroidal point set from a proper set of corner points. We also present an algorithm allowing the given set of points to be recognized as a set of corner points of some antimatroidal point set.",
author = "Yulia Kempner and Levit, {Vadim E.}",
year = "2009",
doi = "10.1007/978-3-642-02029-2_20",
language = "אנגלית",
isbn = "3642020283",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "209--216",
editor = "Marina Lipshteyn and Levit, {Vadim E.} and McConnell, {Ross M.}",
booktitle = "Graph Theory, Computational Intelligence and Thought - Essays Dedicated to Martin Charles Golumbic on the Occasion of His 60th Birthday",
}