'Edge e' presentation slideshows

Distributed MST for Constant Diameter Graphs

Distributed MST for Constant Diameter Graphs. Zvi Lotker & Boaz Patt-Shamir & David Peleg . Model and Notation. G(V,E ) is the network Each vertex has a unique name Each edge has a weight Vertices communicate only by edges The communication is synchronous

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Minimum Cost Spanning Trees

Minimum Cost Spanning Trees. CSC263 Tutorial 10. Minimum cost spanning tree (MCST). What is a m inimum c ost s panning tree? Tree No cycles; equivalently, for each pair of nodes u and v, there is only one path from u to v Spanning Contains every node in the graph Minimum cost

543 views • 35 slides

Sub Graph Listing

Sub Graph Listing. ???? ???? ????? ??????? ????? ????????. spanning subgraph of G : is a subgraph of G which includes all the vertices of G. a spanning tree of G : is a spanning subgraph of G which is a tree. Triangle : a cycle of length three.(C3)

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Lecture 28: Edge-list & Adjacency-List based Graphs

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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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Overlay of Two Subdivisions

(DCEL2). Overlay of Two Subdivisions. doubly-connected edge list 1 (DCEL1). The overlay is a new planar subdivision. . The Overlay Problem. Compute a doubly-connected edge list for the new planar subdivision. Every face be labeled with the labels of the containing

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Minimum Spanning Trees

Minimum Spanning Trees. Subgraph. A graph G is a subgraph of graph H if The vertices of G are a subset of the vertices of H , and The edges of G are a subset of the edges of H . Spanning Tree.

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Termination detection

Termination detection. During the progress of a distributed computation, processes may periodically turn active or passive . A distributed computation termination when: (a) every process is passive , (b) all channels are empty , and

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Termination detection

Termination detection. During the progress of a distributed computation, processes may periodically turn active or passive . A distributed computation termination when: (a) every process is passive , (b) all channels are empty , and

327 views • 16 slides

Brief Review of Proof Techniques

Brief Review of Proof Techniques. What is a proof?. A theorem is a proven mathematical statement. A proof is a sequence of statements that form an argument (to prove sth, say a theorem). Three general methods. Proof by a direct argument. Proof by contradiction. Proof by induction.

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Family Polymorphism & Nested Inheritance

Family Polymorphism & Nested Inheritance. Yevgen Voronenko. Problem: Java 1.4-. class Node { bool touches( Edge e) { ...e...} } class Edge { Node n1, n2; } class OnOffNode extends Node bool touches( Edge e) { ...( OnOffEdge )e... } }

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Introduction Graphs

Vertices. Edges. Introduction Graphs . A graph G=(V,E) V =set of vertices (nodes) E =set of edges Examples : a map with cities connected by streets Cities are vertices Streets are edges Two basic types Undirected graphs (graphs) edge (u,v)=edge (v,u) Directed graphs (digraphs)

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Randomized Algorithms for the Loop Cutset Problem

Randomized Algorithms for the Loop Cutset Problem. Class presentation for CPSC 689-60 5. Author: Ann Becker, Beuven Bar-Yehuda Dan Geiger. Presented by: Songjian Lu . Content. Introduction FVS problem Algorithm for FVS problem WFVS problem Algorithm for WFVS problem.

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Dr. O.Bushehrian

Algorithm design minimum Spanning Trees. Dr. O.Bushehrian. A spanning tree for G is a connected subgraph that contains all the vertices in G and is a tree. 2. Y. 1. 6. 2. 1. Y. 1. 6. 3. 3. 3. 4. 4. 4. 2. 3. 1. 1. 5. 4. 5. 1.

179 views • 11 slides