For a hypergraph ℋ and b:ℋ→ℝ+ define[Figure not available: see fulltext.] Conjecture. There is a matching ℳ of ℋ such that[Figure not available: see fulltext.] For uniform ℋ and b constant this is the main theorem of . Here we prove the conjecture if ℋ is uniform or intersecting, or b is constant.
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- AMS Subject Classification Code (1991): 05D15