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COMBINATORICS
1998
91views more  COMBINATORICS 1998»
13 years 9 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
14 years 1 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 9 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 11 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
14 years 3 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