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Bipartite vertex cover - PowerPoint PPT Presentation

Reducibility and NP-Completeness

Reducibility and NP-Completeness. Computational Complexity Theory. Computational Complexity Theory is the study of how much of a given resource (such as time, space, parallelism, algebraic operations, communication) is required to solve important problems. Classification of Problems.

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1.23k views • 100 slides

NP-Completeness

NP-Completeness. Properties of Algorithms. A given problem can be solved by many different algorithms. Which ALGORITHMS will be useful in practice? A working definition: (Jack Edmonds, 1962) Efficient: polynomial time for ALL inputs. Inefficient: "exponential time" for SOME inputs.

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661 views • 48 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.

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545 views • 42 slides

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Bipartite vertex cover - PowerPoint PPT Presentation

Reducibility and NP-Completeness

NP-Completeness

NP-COMPLETENESS