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EJC
2010
13 years 7 months ago
Partial covers of PG(n, q)
In this paper, we investigate some properties of partial covers of PG(n, q). We show that a set of q + a hyperplanes, q 81, a < (q - 1)/3, or q > 13 and a (q - 10)/4, that...
Stefan M. Dodunekov, Leo Storme, Geertrui Van de V...
COMBINATORICS
2006
135views more  COMBINATORICS 2006»
13 years 7 months ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
CGF
2006
125views more  CGF 2006»
13 years 7 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
ENDM
2007
96views more  ENDM 2007»
13 years 7 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
11 years 10 months ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen