'Negative edge weights' diaporamas de présentation

Shortest path problems

Shortest path problems. Shortest path problems. Shortest path problems. Single-Source Shortest Paths. Given graph (directed or undirected) G = (V,E) with weight function w: E ? R and a vertex s ? V, find for all vertices v ? V the minimum possible weight for path from s to v. .

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Minimum weight spanning trees

Minimum weight spanning trees. 4. 3. 2. 3. 5. 7. 1. 4. 6. 6. 2. Minimum weight spanning trees. 4. 3. 2. 3. 5. 7. 1. 4. 6. 6. 2. Minimum weight spanning trees. 4. 3. 2. 3. 5. 7. 1. 4. 6. 6. 2. Minimum weight spanning trees. 4. 3. 2. 3. 5. 7. 1. 4. 6. 6.

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UNIT V INTER-NETWORKING

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ADVANCED ALGORITHMS

ADVANCED ALGORITHMS. GRAPH ALGORITHMS (UNIT-2 ). The Bellman-Ford Algorithm (BFA) The BFA solves the single-source shortest-paths problem in general case in which edge weights may be negative. Given a weighted directed graph G = (V,E). with source s,

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Shortest Paths in a Graph

Shortest Paths in a Graph. Fundamental Algorithms. The Problems. Given a directed graph G with edge weights, find The shortest path from a given vertex s to all other vertices ( Single Source Shortest Paths ) The shortest paths between all pairs of vertices ( All Pairs Shortest Paths )

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Answering distance queries in directed graphs using fast matrix multiplication

Answering distance queries in directed graphs using fast matrix multiplication. Raphael Yuster. Haifa University. Uri Zwick. Tel Aviv University. Answering distance queries. Generalizes both SSSP and APSP. Preprocessing:. data structure. u,v. ? (u,v). Query answering:.

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Analysis of Algorithms

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Graph Algorithms

Graph Algorithms. Overview. Graphs are very general data structures data structures such as dense and sparse matrices, sets, multi-sets, etc. can be viewed as representations of graphs Algorithms on matrices/sets/etc. can usually be interpreted as graph algorithms

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Progress Report Flash ADC Probabilistic Architecture

Progress Report Flash ADC Probabilistic Architecture. Yuta Toriyama. yuta@ee.ucla.edu August 10, 2012. The design of a variability-agnostic Flash ADC Using small devices and low supply voltages for a low-power low-area design

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Shortest Path Algorithm

Shortest Path Algorithm. What is the Shortest Path Problem? Is the shortest path problem well defined? The Dijkstra's Algorithm for Shortest Path Problem. Animated Example. Data structures required for implementation. Implementation. Review Questions. What is the shortest path problem?.

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Problems from Graphs.

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