The network diagram shown below, shows part of a shopping complex, with nodes A, B and C representing different stores, and E representing the entry/exit to the shopping complex. Sam must visit A (the pharmacy), B (the supermarket) and C (a clothes store). E A C B (a) Using the order: A, B, C, E, construct a connectivity matrix C, for this network. (b) Calculate C² and interpret the value in row 2, column 3.
The network diagram shown below, shows part of a shopping complex, with nodes A, B and C representing different stores, and E representing the entry/exit to the shopping complex. Sam must visit A (the pharmacy), B (the supermarket) and C (a clothes store). E A C B (a) Using the order: A, B, C, E, construct a connectivity matrix C, for this network. (b) Calculate C² and interpret the value in row 2, column 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Answer all of question 1.
Transcribed Image Text:(c) Calculate C4
(d) Starting from the entrance to the shopping complex, Sam would like to visit each location just
once to limit socialising, then leave the shopping complex.
iii)
Find the number of 4 step routes which Sam could take.
Explain whether Sam can use any of these routes.
Comment on how your answers to (i) and (ii) show the limitations of using
connectivity matrices to solve problems like this.
Transcribed Image Text:The network diagram shown below, shows part of a shopping complex, with nodes A, B and C
representing different stores, and E representing the entry/exit to the shopping complex.
Sam must visit A (the pharmacy), B (the supermarket) and C (a clothes store).
E
A
C
hein B
(a) Using the order: A, B, C, E, construct a connectivity matrix C, for this network.
(b) Calculate C² and interpret the value in row 2, column 3.
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