Vancouver 16 Edmonton Saskatoon V₁ Vy 12 V₂ Calgary Regina 14 (a) 20 Winnipeg 11/16 8/13 12/12 11/14 (b) VA 15/20 4/4 Figure 26.1 (a) A flow network G = (V, E) for the Lucky Puck Company's trucking problem. The Vancouver factory is the sources, and the Winnipeg warehouse is the sink f. The company ships pucks through intermediate cities, but only c(u, v) crates per day can go from city u to city v. Each edge is labeled with its capacity. (b) A flow f in G with value || = 19. Each edge (u, v) is labeled by f(u, v)/c(u, v). The slash notation merely separates the flow and capacity; it does not indicate

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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Vancouver
16
13
Edmonton Saskatoon
V3
4
V₂
Calgary
12
9
14
(a)
V₁
Regina
20
Winnipeg
11/16
8/13
1/1
V₂
12/12
4/9
11/14
(b)
V3
V4
15/20
4/4
Figure 26.1 (a) A flow network G=(V, E) for the Lucky Puck Company's trucking problem.
The Vancouver factory is the sources, and the Winnipeg warehouse is the sink f. The company ships
pucks through intermediate cities, but only c(u, v) crates per day can go from city u to city v. Each
edge is labeled with its capacity. (b) A flow f in G with value || = 19. Each edge (u, v) is labeled
by f(u, v)/c(u, v). The slash notation merely separates the flow and capacity; it does not indicate
division.
Transcribed Image Text:Vancouver 16 13 Edmonton Saskatoon V3 4 V₂ Calgary 12 9 14 (a) V₁ Regina 20 Winnipeg 11/16 8/13 1/1 V₂ 12/12 4/9 11/14 (b) V3 V4 15/20 4/4 Figure 26.1 (a) A flow network G=(V, E) for the Lucky Puck Company's trucking problem. The Vancouver factory is the sources, and the Winnipeg warehouse is the sink f. The company ships pucks through intermediate cities, but only c(u, v) crates per day can go from city u to city v. Each edge is labeled with its capacity. (b) A flow f in G with value || = 19. Each edge (u, v) is labeled by f(u, v)/c(u, v). The slash notation merely separates the flow and capacity; it does not indicate division.
Problem 1. In Lecture 17, page 2, Figure 26.1(b), determine the flow across the cut
({s, V2, V₁}, {V₁, V3, t}) and determine the capacity of this cut.
Transcribed Image Text:Problem 1. In Lecture 17, page 2, Figure 26.1(b), determine the flow across the cut ({s, V2, V₁}, {V₁, V3, t}) and determine the capacity of this cut.
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