'Connected graph g' presentation slideshows

CSE 332 Data Abstractions: Disjoint Set Union-Find and Minimum Spanning Trees

CSE 332 Data Abstractions: Disjoint Set Union-Find and Minimum Spanning Trees. Kate Deibel Summer 2012. Making Connections. You have a set of nodes (numbered 1-9) on a network. You are given a sequence of pairwise connections between them: 3-5 4-2 1-6 5-7 4-8 3-7

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Chapter 2

Chapter 2. 2.1 Basic properties 2.2 Spanning tree and enumeration 2.3 Optimization and trees. Trees and Distance. Acyclic, tree 2.1.1. A graph with no cycle is acyclic A forest is an acyclic graph A tree is a connected acyclic graph

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Random Partition via Shifting

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A Hard Problem: The TSP

Amirkabir University of Technology. A Hard Problem: The TSP. By: Mahmood Reza Jahanseir. Basic definitions Lower bounds: Relaxations The assignment relaxation The MST relaxation The s-tree relaxation The LP relaxation Lower bounds: Subgradient optimization Approximation algorithms

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CSE332: Data Abstractions Lecture 26: Minimum Spanning Trees

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Orderly Broadcasting in Multidimensional Tori

Orderly Broadcasting in Multidimensional Tori. Presentation by Perouz Taslakian. May 6, 2004. Outline. Introduction and Motivation Types of Broadcasting Orderly Broadcasting Lower Bound on 2-dimensional Tori Upper Bound for 2-dimensional Tori Upper Bound for d -dimensional Tori

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Minimum Spanning Trees

Minimum Spanning Trees. CS 146 Prof. Sin-Min Lee Regina Wang. Spanning Tree properties:. On a connected graph G=(V, E), a spanning tree: is a connected subgraph acyclic is a tree (|E| = |V| - 1) contains all vertices of G (spanning). A connected, undirected graph.

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Graph Theory

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Routing with d-CDS

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CS1022 Computer Programming & Principles

CS1022 Computer Programming & Principles. Lecture 7.2 Graphs (2). Plan of lecture. Hamiltonian graphs Trees Sorting and searching. Hamiltonian graphs (1). Euler looked into the problem of using all edges once (visiting vertices as many times as needed) Interesting related problem:

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Tutorial 5 of CSCI2110 Eulerian Path & Hamiltonian Cycle

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Iosif Legrand California Institute of Technology

An Agent Based, Dynamic Service System to Monitor, Control and Optimize Distributed Systems. May 2005 . Iosif Legrand California Institute of Technology. MonALISA is A Dynamic, Distributed Service Architecture.

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Example Question on Linear Program, Dual and NP-Complete Proof

Example Question on Linear Program, Dual and NP-Complete Proof . COT5405 Spring 11. Question. Given an undirected connected graph G = ( V,E ) and a positive integer k ? | V|. T wo vertices u and v are connected if and only if there exists at least one path from u to v.

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Greedy Algorithms for Matroids

Greedy Algorithms for Matroids. Andreas Klappenecker. Matroid. Let S be a finite set, and F a nonempty family of subsets of S, that is, F ? P(S). We call (S,F) a matroid if and only if M1) If B?F and A ? B, then A?F. [The family F is called hereditary ]

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Chapter 9: Greedy Algorithms

The Design and Analysis of Algorithms. Chapter 9: Greedy Algorithms. Greedy Algorithms. Basic Idea The Change-Making Problem Minimum Spanning Trees Shortest Paths Huffman Codes. Basic Idea.

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Contents of Chapter 6

Contents of Chapter 6. Chapter 6 Basic Traversal and Search Techniques 6.1 Techniques for binary trees 6.2 Techniques for graphs 6.3 Connected components and spanning trees 6.4 Biconnected components and DFS 6.5 References and readings. Chap. 6 Basic Traversal and Search Techniques.

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Graph Theory: Euler Circuits

Graph Theory: Euler Circuits. Christina Mende Math 480 April 15, 2013. Preliminaries. a. V= {a,b,c,d}. E ={{a,b},{a,c},{b,c},{c,d}}. d. b. c. A graph is a pair G=(V,E) of sets satisfying The elements of V are the vertices of our graph.

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Prof. Swarat Chaudhuri

COMP 482: Design and Analysis of Algorithms. Prof. Swarat Chaudhuri. Spring 2012 Lecture 9. Q1: Fastest travel time.

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Variations of the maximum leaf spanning tree problem for bipartite graphs

Variations of the maximum leaf spanning tree problem for bipartite graphs. P.C. Li and M. Toulouse Information Processing Letters 97 (2006) 129-132 2006/03/14. Outline. The maximum leaf spanning tree for bipartite graph is NP-complete

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Ford-Fulkerson algorithm for the Maximum F low problem

Ford-Fulkerson algorithm for the Maximum F low problem. Maximum Flow Problem Given a connected graph G=(V,E), a capacity c:E->R+, and two nodes s and t, find a maximum s-t flow. Minimum Cut Problem

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