A Separator Theorem for Hypergraphs and a CSP-SAT Algorithm

We show that for every $r \ge 2$ there exists $\epsilon_r > 0$ such that any $r$-uniform hypergraph with $m$ edges and maximum vertex degree $o(\sqrt{m})$ contains a set of at most $(\frac{1}{2} - \epsilon_r)m$ edges the removal of which breaks the hypergraph into connected components with at mos...

Full description

Bibliographic Details
Main Authors: Michal Koucký, Vojtěch Rödl, Navid Talebanfard
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-12-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7484/pdf