'3 color' diaporamas de présentation

Polynomial-Time Reductions

Polynomial-Time Reductions. Some of these lecture slides are adapted from CLRS and Kleinberg-Tardos. Contents. Contents. Polynomial-time reductions. Reduction from special case to general case. COMPOSITE reduces to FACTOR VERTEX-COVER reduces to SET-COVER Reduction by simple equivalence.

1.23k views • 70 slides

233-234

233-234. Sedgewick & Wayne (2004); Chazelle (2005). Linear-reduces: Cost of reduction is proportional to size of input. Traveling Salesman Problem. Best known algorithm takes exponential time!. P. Problems that can be solved in polynomial time. c.

631 views • 52 slides

NP-Completeness

NP-Completeness. Observation. All problems below are NP-complete and polynomial reduce to one another!. by definition of NP-completeness. CIRCUIT-SAT. 3-SAT. 3-SAT reduces to INDEPENDENT SET. INDEPENDENT SET. DIR-HAM-CYCLE. GRAPH 3-COLOR. SUBSET-SUM. VERTEX COVER. SCHEDULING.

863 views • 46 slides

NP-COMPLETENESS

NP-COMPLETENESS. Yes. Probably no. Shortest path. Longest path. Matching. 3D-matching. Min cut. Max cut. 2-SAT. 3-SAT. Planar 4-color. Planar 3-color. Bipartite vertex cover. Vertex cover. Primality testing. Factoring. Classify Problems According to Computational Requirements.

499 views • 42 slides

Grand Unified Theory, Running Coupling Constants and the Story of our Universe

426 views • 25 slides

CSE 417: Algorithms and Computational Complexity

195 views • 19 slides

NP-Completeness

NP-Completeness. Note . Some illustrations are taken from ( KT ) Kleinberg and Tardos. Algorithm Design ( DPV ) Dasgupta, Papadimitriou, and Vazirani. Algorithms. Decision problems. Decision problem . X is a set of strings. Instance : string s.

166 views • 16 slides