Name
Abstract | ||
|---|---|---|
Let 0 <= p <= 1/2 and let {0,1}(n) be enclosed with the product measure mu(p) defined by mu(p)(x) = p(vertical bar x vertical bar) (1-p)(n-vertical bar x vertical bar), where vertical bar x vertical bar = Sigma x(i). Let I subset of {0,1}(n) be an intersecting family i.e. for every x,y epsilon I there exists a coordinate 1 <= i <= n such that x(i) = y(i) = 1. Then mu(p) (I) <= p. Our proof uses measure preserving homorphisms between graphs. |
Year | Venue | Keywords |
|---|---|---|
2006 | ELECTRONIC JOURNAL OF COMBINATORICS | intersecting families,product measure |
Field | DocType | Volume |
Discrete mathematics,Intersection theorem,Graph,Combinatorics,Finite set,Polyomino,Polyform,Hexagonal tiling,Perimeter,Homomorphism,Mathematics | Journal | 13 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 3 |
PageRank | References | Authors |
0.60 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Irit Dinur | 1 | 1187 | 85.67 |
| Ehud Friedgut | 2 | 440 | 38.93 |