Algorithmic Bounds for Presumably Hard Combinatorial Problems
In this thesis we present new worst case computational bounds on algorithms for some of the most well-known NP-complete and #P-complete problems and their optimization variants. We consider graph problems like Longest Path, Maximum Cut, Number of Perfect Matchings, Chromatic and Domatic Number, as well as Maximum k-Satisfiability and Set Cover. Our results include I a) There is a polynomial--