'Edges incident' diaporamas de présentation

Computing Fundamentals 2 Lecture 2 A theory of Graphs

Lecturer: Patrick Browne http://www.comp.dit.ie/pbrowne/ Lecture Room K408, Labs A305 & A306 Based on Chapter 19. A Logical approach to Discrete Math By David Gries and Fred B. Schneider. Computing Fundamentals 2 Lecture 2 A theory of Graphs. A Theory of Graphs.

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Data Structures and Algorithms Graphs

Data Structures and Algorithms Graphs. Content. Motivation Graph Directed Graph Undirected Graph Representation Implementation Algorithms Graph Traversal Shortest Path Minimum Cost Spanning Trees Critical Path Analysis. Motivation ... Graphs are everywhere. Directed Graph.

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Xuding Zhu

Circular flow of signed graphs. Xuding Zhu. Zhejiang Normal University. 2013.7 Budapest. G: a graph. A circulation on G. G: a graph. 1. 1. 1. 1. 1. 2. 1. 2. 2. 3. A circulation on G. G: a graph. -1. 1. 1. 1. 1. 2. 1. 2. 2. 3. A circulation on G. G: a graph. 1.

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Sidechain Placement and Protein Design

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MAT 2720 Discrete Mathematics

MAT 2720 Discrete Mathematics. Section 8.5 Representations of Graphs. http://myhome.spu.edu/lauw. Goals. In order to use computers to analyze graphs, we need formal representations Represent Graphs with Matrices Incidence Matrix Adjacency Matrix. Incidence Matrix. Adjacency Matrix.

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Graphs

Denver. Chicago. LA. Miami. Tampa. Graphs. A Graph G = (V, E) consists of V, a nonempty set of vertices (or nodes ) and E, a set of edges . Each edge has either one or two vertices associated with it, called its endpoints. An edge is said to connect its endpoints.

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Algorithmic Mechanism Design: an Introduction

Algorithmic Mechanism Design: an Introduction Approximate (one-parameter) mechanisms, with an application to combinatorial auctions Guido Proietti Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica University of L'Aquila guido.proietti@univaq.it. Results obtained so far.

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Planar Graphs

Tucker, Applied Combinatorics, Section 1.4, prepared by Patti Bodkin. Planar Graphs. a. This is a plane graph of Figure 1. a. b. e. e. c. f. b. d. d. f. c. Figure 1. A graph is called planar if it can be drawn on a plane without edges crossing.

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What are primes in graphs and how many of them have a given length?

What are primes in graphs and how many of them have a given length?. Audrey Terras Math. Club Oct. 30, 2008. A graph is a bunch of vertices connected by edges. The simplest example for the talk is the tetrahedron K 4 .

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Distributed Breadth-First Search with 2-D Partitioning

Distributed Breadth-First Search with 2-D Partitioning. Edmond Chow, Keith Henderson, Andy Yoo Lawrence Livermore National Laboratory LLNL Technical report UCRL-CONF-210829 Presented by K. Sheldon March 2011. Abstract.

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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

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NP-Complete

NP-Complete. Proof of correctness; More reductions. Definitions. P: problems that can be solved in polynomial time (typically in n , size of input) on a deterministic Turing machine Any normal computer simulates a DTM

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Local Overlaps in Unfoldings of Polyhedra

Local Overlaps in Unfoldings of Polyhedra. Brendan Lucier Anna Lubiw University of Waterloo. Presented at the 15th Annual Fall Workshop on Computational Geometry, 2005 University of Pennsylvania, Philadelphia, PA. Local Overlaps in Unfoldings of Polyhedra. Brendan Lucier Anna Lubiw

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Dynamic Interconnection Networks

Dynamic Interconnection Networks. Miodrag Bolic. Overview. Network properties Switches Single and multistage Interconnection networks Crossbar. Network properties. Node degree d - the number of edges incident on a node. In degree Out degree

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Spatial Information Systems (SIS) COMP 30110 Spatial data structures (3)

Spatial Information Systems (SIS) COMP 30110 Spatial data structures (3). e3. e2. e. e4. e1. More Topological Data Structures. Arc-node structure (Peucker and Chrisman, 1975): stores EV and EF Winged-edge structure (Weiler, 1985): extends the DCEL

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Representing Graphs

Representing Graphs. Wade Trappe. Lecture Overview. Introduction Some Terminology Paths Adjacency Matrix. Paths and Cycles, pg. 1.

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Computing Approximate Weighted Matchings in Parallel

Computing Approximate Weighted Matchings in Parallel. Fredrik Manne, University of Bergen with Rob Bisseling, Utrecht University Alicia Permell, Michigan Tech. University. The Edge Weighted Matching Problem. Given an edge weighted graph G(V,E).

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Theorem 6.4 1/4

Theorem 6.4 1/4. The Petersen graph is non-Hamiltonian. Proof ? [proof by contradiction]

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