'Maximum independent set' presentation slideshows

Evi Papaioannou PhD Thesis

Independent Sets and Graph Coloring with Applications to the Frequency Allocation Problem in Wireless Networks. Evi Papaioannou PhD Thesis. Department of Computer Engineering and Informatics University of Patras. Subject. Wireless networks

1.43k views • 123 slides

NP-completeness

NP-completeness. Algorithms and Networks. Today. Complexity of computational problems Formal notion of computations NP-completeness Why is it relevant? What is it exactly? How is it proven? P vs. NP Some animals from the complexity zoo. 1. Introduction.

1.55k views • 101 slides

NP-completeness

NP-completeness. Algorithms and Networks. Today. Complexity of computational problems Formal notion of computations NP-completeness Why is it relevant? What is it exactly? How is it proven? P vs. NP Some animals from the complexity zoo. 1. Introduction.

888 views • 86 slides

Graphs with tiny vector chromatic numbers and huge chromatic numbers

Graphs with tiny vector chromatic numbers and huge chromatic numbers. Michael Langberg. Weizmann Institute of Science. Joint work with U. Feige and G. Schechtman. Two fundamental NP-Hard problems. Minimum Coloring Maximum Independent Set . Minimum coloring.

770 views • 63 slides

Maximal Independent Set

802 views • 49 slides

Maximal Independent Set

577 views • 49 slides

Maximal Independent Set

Maximal Independent Set. Independent (or stable) Set (IS):. In a graph G=(V,E), |V|=n, |E|=m, any set of nodes that are not adjacent. Maximal Independent Set (MIS):. An independent set that is no subset of any other independent set. Size of Maximal Independent Sets.

498 views • 49 slides

Chromatic Coloring with a Maximum Color Class

Chromatic Coloring with a Maximum Color Class. Bor-Liang Chen Kuo-Ching Huang Chih-Hung Yen* 30 July, 2009. Throughout this talk, all graphs considered are finite , undirected , loopless and without multiple edges. Definitions and Notations. Definitions and Notations.

527 views • 43 slides

The Grammar According to West math.uiuc/~west/grammar.html

The Grammar According to West http://www.math.uiuc.edu/~west/grammar.html. Part IV Terminology and notation #41-53. 41. "Maximal" vs. "maximum".

548 views • 36 slides

Covers, Dominations, Independent Sets and Matchings

Covers, Dominations, Independent Sets and Matchings. AmirHossein Bayegan Amirkabir University of Technology. Basic Concepts. Vertex Cover If G(V,E) is a graph, then a vertex of G is said to cover any edge of G that is incident with

456 views • 32 slides

Lecture 24 Vertex Cover and Hamiltonian Cycle

Lecture 24 Vertex Cover and Hamiltonian Cycle. Vertex Cover. Given a graph G=(V,E), find a minimum subset C of vertices such that every edge is incident to a vertex in C. Decision Version. Given a graph G=(V,E) and positive integer k < |V|, is there a vertex cover C of size at most k?.

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412 views • 23 slides

Approximation Algorithms

378 views • 23 slides

Combinatorial Auction

Combinatorial Auction. Social-choice function: the winner should be the guy having in mind the highest value for the painting. A single item auction. t 1 =10. r 1 =11. r i : is the amount of money player i bids (in a sealed envelope) for the painting. t 2 =12. r 2 =10. t 3 =7.

283 views • 22 slides

Combinatorial Auction

Combinatorial Auction. f(t) : the set X ? F with the highest total value. Conbinatorial auction. t 1 =20. v 1 =20. t 2 =15. v 2 =16. t 3 =6. v 3 =7. the mechanism decides the set of winners and the corresponding payments. Each player wants a bundle of objects

389 views • 21 slides

Finding a maximum independent set in a sparse random graph

Finding a maximum independent set in a sparse random graph. Uriel Feige and Eran Ofek. Max Independent Set. Largest set of vertices that induce no edge. NP-hard, even to approximate. NP-hard on planar graphs.

387 views • 20 slides

Approximation Preserving Reductions

340 views • 19 slides