Nearly perfect matchings in regular simple hypergraphs
β Scribed by Noga Alon; Jeong-Han Kim; Joel Spencer
- Book ID
- 110679420
- Publisher
- The Hebrew University Magnes Press
- Year
- 1997
- Tongue
- English
- Weight
- 643 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let H be a k + 1 -uniform, D-regular hypergraph on n vertices and let H be the minimum number of vertices left uncovered by a matching in H. C j H , the j-codegree of H, is the maximum number of edges sharing a set of j vertices in common. We prove a general upper bound on H , based on the codegree
Given an r-uniform hypergraph H = (V, E ) on ( V ( = n vertices, a real-valued function f(e) 5 1 for all u E V and C e E E f(e) = n/r. Considering a random r-uniform hypergraph process of n vertices, we show that with probability tending to 1 as n + m , at the very moment to when the last isolated