Recognition of antimatroidal point sets

Yulia Kempner, Vadim E. Levit

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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.

Original languageEnglish
Title of host publicationGraph Theory, Computational Intelligence and Thought - Essays Dedicated to Martin Charles Golumbic on the Occasion of His 60th Birthday
EditorsMarina Lipshteyn, Vadim E. Levit, Ross M. McConnell
Number of pages8
StatePublished - 2009
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5420 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


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