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COMBINATORICS
1998
91views more  COMBINATORICS 1998»
13 years 4 months ago
New Bounds for Union-free Families of Sets
: Following Frankl and F¨uredi [1] we say a family, F, of subsets of an n-set is weakly union-free if F does not contain four distinct sets A, B, C, D with A ∪ B = C ∪ D. If i...
Don Coppersmith, James B. Shearer
COMPGEOM
2010
ACM
13 years 8 months ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml
COMBINATORICS
2007
83views more  COMBINATORICS 2007»
13 years 4 months ago
On Small Dense Sets in Galois Planes
This paper deals with new infinite families of small dense sets in desarguesian projective planes PG(2, q). A general construction of dense sets of size about 3q2/3 is presented....
Massimo Giulietti
ATS
2005
IEEE
164views Hardware» more  ATS 2005»
13 years 6 months ago
A Family of Logical Fault Models for Reversible Circuits
Reversibility is of interest in achieving extremely low power dissipation; it is also an inherent design requirement of quantum computation. Logical fault models for conventional ...
Ilia Polian, Thomas Fiehn, Bernd Becker, John P. H...
WG
2005
Springer
13 years 10 months ago
Algebraic Operations on PQ Trees and Modular Decomposition Trees
Partitive set families are families of sets that can be quite large, but have a compact, recursive representation in the form of a tree. This tree is a common generalization of PQ...
Ross M. McConnell, Fabien de Montgolfier