Consider the following graph. List all the paths between vertex A and vertex J and do not visit any vertex more than one time. You do not have to visit every vertex and you do not have to cross every edge (so it's not about Euler or Hamilton paths). The idea is to find all the ways you can "walk" from vertex A to vertex J without backtracking. I listed one for you as a reminder of how to write paths. مهد B D 1. List the paths here: A,B,D,C,F,G,I,J C G 2. There are two circuits in this graph. If they were not there, would there be more paths or fewer paths? 3. If we add an edge FI, how many new paths would be added to the previous list?
Consider the following graph. List all the paths between vertex A and vertex J and do not visit any vertex more than one time. You do not have to visit every vertex and you do not have to cross every edge (so it's not about Euler or Hamilton paths). The idea is to find all the ways you can "walk" from vertex A to vertex J without backtracking. I listed one for you as a reminder of how to write paths. مهد B D 1. List the paths here: A,B,D,C,F,G,I,J C G 2. There are two circuits in this graph. If they were not there, would there be more paths or fewer paths? 3. If we add an edge FI, how many new paths would be added to the previous list?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Ch. 7 Graphing exploration 1 – paths in a network
Consider the following graph. List all the paths between vertex
A and vertex J and do not visit any vertex more than one time.
You do not have to visit every vertex and you do not have to
cross every edge (so it's not about Euler or Hamilton paths). The
idea is to find all the ways you can "walk" from vertex A to
vertex J without backtracking. I listed one for you as a reminder
of how to write paths.
D
As
C
1. List the paths here:
G
A,B,D,C,F,G,I,J
24
₂²
2. There are two circuits in this graph. If they were not there,
would there be more paths or fewer paths?
3. If we add an edge FI, how many new paths would be added
to the previous list?
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