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Given the following weighted directed graph with štarting weight denotes its capacity. Vertices s and t denote the source and target vertices, respectively. Suppose at the beginning all the flows of edges are 0. And we want to find the max flow of this graph. 15 15 10 15 – 15 0 Please answer the following questions: 15 10 16. 1. When we are searching for the first augmenting path, what is the augmenting path that can provide the largest bottleneck capacity and shortest length (Le, number of edges)? 2. What is the maximum flow value? 3. What is the partitioning of the graph that can achileve minimum cut? [Hint: simply list the vertices in the set containings and the vertices in the set containing t, respectively]

Given the following weighted directed graph with štarting weight denotes its capacity. Vertices s and t denote the source and target vertices, respectively. Suppose at the beginning all the flows of edges are 0. And we want to find the max flow of this graph. 15 15 10 15 – 15 0 Please answer the following questions: 15 10 16. 1. When we are searching for the first augmenting path, what is the augmenting path that can provide the largest bottleneck capacity and shortest length (Le, number of edges)? 2. What is the maximum flow value? 3. What is the partitioning of the graph that can achileve minimum cut? [Hint: simply list the vertices in the set containings and the vertices in the set containing t, respectively]

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Given the following weighted directed graph with starting vertex s and target vertex t, where each edge weight denotes its capacity. Verticess and t denote the source and target vertices, respectively. Suppose at the beginning all the flows of edges are 0. And we want to find the max flow of this graph. 15 15 10 15 Please answer the following questions: - 15 0 15 15 10 16 1. When we are searching for the first augmenting path, what is the augmenting path that can provide the largest bottleneck capacity and shortest length (Le., number of edges)? 2. What is the maximum flow value? 3. What is the partitioning of the graph that can achieve minimum cut? [Hint: simply list the vertices in the set containing s and the vertices in the set containing t, respectively)
Transcribed Image Text:Given the following weighted directed graph with starting vertex s and target vertex t, where each edge weight denotes its capacity. Verticess and t denote the source and target vertices, respectively. Suppose at the beginning all the flows of edges are 0. And we want to find the max flow of this graph. 15 15 10 15 Please answer the following questions: - 15 0 15 15 10 16 1. When we are searching for the first augmenting path, what is the augmenting path that can provide the largest bottleneck capacity and shortest length (Le., number of edges)? 2. What is the maximum flow value? 3. What is the partitioning of the graph that can achieve minimum cut? [Hint: simply list the vertices in the set containing s and the vertices in the set containing t, respectively)
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