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JCT
2010
65views more  JCT 2010»
13 years 6 months ago
Multiple cross-intersecting families of signed sets
A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ..., Ap are said to be cross-intersec...
Peter Borg, Imre Leader
CORR
2011
Springer
162views Education» more  CORR 2011»
13 years 2 months ago
Helly numbers of acyclic families
The Helly number of a family of sets with empty intersection is the size of its largest inclusionwise minimal sub-family with empty intersection. Let F be a finite family of open...
Éric Colin de Verdière, Grégo...
COMPGEOM
1991
ACM
13 years 11 months ago
Crossing Families
Given a set of points in the plane, a crossing family is a collection of line segments, each joining two of the points, such that any two line segments intersect internally. Two s...
Boris Aronov, Paul Erdös, Wayne Goddard, Dani...
DCC
2007
IEEE
14 years 7 months ago
On the structure of 1-designs with at most two block intersection numbers
We introduce the notion of an unrefinable decomposition of a 1-design with at most two block intersection numbers, which is a certain decomposition of the 1-designs collection of ...
John Arhin
FSS
2010
81views more  FSS 2010»
13 years 6 months ago
QL-implications: Some properties and intersections
In this paper, we attempt a systematic study of QL-implications. Towards this end, firstly, we investigate the conditions under which a QL-operation becomes a fuzzy implication w...
Michal Baczynski, Balasubramaniam Jayaram