Assume a graph G = (V, E) represents a computer network where the vertices represent computers and the edges represent point-to-point network connections between the computers. Assume each edge (u, v) of G is associated with a real number f(u,v) between 0 and 1 which represents the probability that the corresponding network connection is faulty. Assume these probabilities are independent. a. Propose an algorithm that finds a path between two given vertices u and v with the smallest probability of being faulty (a path is faulty if at least one of its edges is faulty). b. Analyze the complexity of your algorithm.
Assume a graph G = (V, E) represents a computer network where the vertices represent computers and the edges represent point-to-point network connections between the computers. Assume each edge (u, v) of G is associated with a real number f(u,v) between 0 and 1 which represents the probability that the corresponding network connection is faulty. Assume these probabilities are independent. a. Propose an algorithm that finds a path between two given vertices u and v with the smallest probability of being faulty (a path is faulty if at least one of its edges is faulty). b. Analyze the complexity of your algorithm.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Assume a graph G = (V, E) represents a
a. Propose an
b. Analyze the complexity of your algorithm.
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