Browsing Mathematics (Faculty of) by Subject "piercing"
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Approximation Algorithms for Rectangle Piercing Problems
(University of Waterloo, 2005)Piercing problems arise often in facility location, which is a well-studied area of computational geometry. The general form of the piercing problem discussed in this dissertation asks for the minimum number of facilities ... -
Piercing axis-parallel boxes
(The Electronic Journal of Combinatorics, 2018)Let F be a finite family of axis-parallel boxes in Rd such that F contains no k + 1 pairwise disjoint boxes. We prove that if F contains a subfamily M of k pairwise disjoint boxes with the property that for every F E F ...