'Strongly connected' diaporamas de présentation

UMass Lowell Computer Science 91.404 Analysis of Algorithms Prof. Karen Daniels Fall, 2003

UMass Lowell Computer Science 91.404 Analysis of Algorithms Prof. Karen Daniels Fall, 2003. Chapter 22: Graph Algorithms Chapter 23: Minimum Spanning Trees Chapter 24: Shortest Paths [Source: Cormen et al. textbook except where noted]. Overview: Graph Algorithms.

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Parallel Graph Algorithms

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Konigsberg Bridge Problem

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Lecture 15: Depth First Search

Lecture 15: Depth First Search. Shang-Hua Teng. A. A. B. B. D. F. F. E. E. D. C. C. Graphs. G= (V,E). Directed Graph (digraph) Degree: in/out. Undirected Graph Adjacency is symmetric. Graph Basics. The size of a graph is the number of its vertices

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Graph Algorithms Using Depth First Search

Graph Algorithms Using Depth First Search. Analysis of Algorithms Week 8, Lecture 1. Prepared by John Reif, Ph.D. Distinguished Professor of Computer Science Duke University. Graph Algorithms Using Depth First Search. Graph Definitions DFS of Graphs Biconnected Components

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A Lemke-Type Algorithm for Market Equilibrium under Separable, Piecewise-Linear Concave Utilities

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Graphs: Definitions

Graphs: Definitions A graph G is a pair ( V , E ) where V is a set of vertices E is a set of edges Graphs: Definitions A graph G is a pair ( V , E ) where V is a set of vertices V = {A, B, C, D, E, F}

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CS240A: Computation on Graphs

CS240A: Computation on Graphs. Graphs and Sparse Matrices . Sparse matrix is a representation of a (sparse) graph. 1 2 3 4 5 6. 1 1 1 2 1 1 1 3 1 1 1 4 1 1 5 1 1

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Algorithm Design and Analysis (ADA)

Algorithm Design and Analysis (ADA). 242-535 , Semester 1 2013-2014. Objective describe and compare depth-first and breadth-first graph searching, and look at the creation of spanning trees. 9. Graph Search. Overview. Graph Searching Depth First Search (DFS) Uses of DFS

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Chapter 22: Elementary Graph Algorithms

Chapter 22: Elementary Graph Algorithms. Overview: Definition of a graph Representation of graphs adjacency list matrix Elementary search algorithms breadth-first search (BFS) depth-first search(DFS) topological sort strongly connected components. Notation.

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Computing Longest Common Substring/Subsequence of Non-linear Texts

Computing Longest Common Substring/Subsequence of Non-linear Texts . Kouji Shimohira , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda Kyushu University, Japan. Outline. Non-linear Text Computing Longest Common Subsequence of Acyclic Non-linear Texts

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Graph Algorithms

Graph Algorithms. Recursive DFS. DFS(v:Integer) visit and mark v; while there is an unmarked vertex w adjacent to v do DFS(w) endwhile end DFS (Global AdjacencyList is required). Compute Start Time. DFS(v:Integer) Start_Time := Start_Time + 1; d[v] := Start_time;

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Review

Review. Binary Search Trees Operations on Binary Search Tree Inserting a Node Searching a Node Deleting a Node Expression Tree Decision Tree. Graphs. Graph Directed Graph Undirected Graph Sub-Graph Spanning Sub-Graph Degree of a Vertex Weighted Graph Elementary and Simple Path

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Condorcet Voting

Condorcet Voting. By: Krystle Stehno. Voting Theory. In voting theory, the goal is to make the largest number of people happy while allowing everyone to vote honestly. http://www.hamburg.mi.us/clerk/images/vote-graphic.png. http://www.mclib.org/voting_booth.gif. Voting Methods.

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9.4 Connectivity

9.4 Connectivity. Invariant properties. Recall- invariant properties that isomorphic graphs share Some examples?... Path lengths are another invariant property. Applications of paths: sending a message between any 2 computers, taking a bus from a to b. Definitions of path, circuit.

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Chapter 5 Shortest Path Label-Correcting

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