cfry@watdcsu.waterloo.edu (C.Fry - Inst. Computer Research) (01/15/88)
Quick Solutions to Optimization Problems on Perfect Graphs by Prof. Bruce Reed of Department of Combinatorics and Optimization University of Waterloo Abstract Two famous hard optimization problems are colouring the vertices of a graph and finding the largest clique in a graph. These problems are known to be NP-complete for general graphs. In 1960, Claude Berge defined the class of perfect graphs. Both the colouring and clique problems can be solved in polynomial time on these graphs. We discuss algorithms to solve these problems on some special classes of perfect graphs. We discuss applications of these algorithms in scheduling, micro-code generation and com- putational geometry. DATE: Wednesday January 20, 1988 TIME: 3:30 p.m. PLACE: MC 5158 Everyone is welcome. Refreshments served.