Lovász asked whether the following is true for each hypergraph H and natural number k:. (*) if νk (H′) = k · ν* (H′) holds for each hypergraph H′ arising from H by multiplication of points, then νk (H) = τk (H);. (* *) if τk (H′) = k · τ* (H′) holds for each hypergraph H′ arising from H by removing edges, then τk (H) = νk (H). We prove and generalize assertion (*) and give a counterexample to (* *).
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics