The table gives the weights of a weighted graph G on vertices U, V, W, X, Y, Z. All the edges appear in the table (so for instance VZ is not an edge in the graph). Edge Weight Edge Weight Edge Weight UX 1 UV 3 UW VX 1 YZ 3 XY 6 WY 1 WX 4 XZ 8 ᏙᎳ 2 WZ 5 UZ 9 Use Dijkstra's algorithm to find a minimal path from U to Z. We now consider an graph G' whose vertices and edges are the same as G, but which is not a weighted graph. Sketch a planar diagram of G'.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 80EQ
Question
The table gives the weights of a weighted graph G on vertices U, V, W, X, Y, Z.
All the edges appear in the table (so for instance VZ is not an edge in the graph).
Edge Weight Edge Weight Edge Weight
UX 1
UV 3
UW
VX 1
YZ 3
XY
6
WY 1
WX
4
XZ
8
ᏙᎳ 2
WZ
5
UZ
9
Use Dijkstra's algorithm to find a minimal path from U to Z.
We now consider an graph G' whose vertices and edges are the same as G,
but which is not a weighted graph. Sketch a planar diagram of G'.
Transcribed Image Text:The table gives the weights of a weighted graph G on vertices U, V, W, X, Y, Z. All the edges appear in the table (so for instance VZ is not an edge in the graph). Edge Weight Edge Weight Edge Weight UX 1 UV 3 UW VX 1 YZ 3 XY 6 WY 1 WX 4 XZ 8 ᏙᎳ 2 WZ 5 UZ 9 Use Dijkstra's algorithm to find a minimal path from U to Z. We now consider an graph G' whose vertices and edges are the same as G, but which is not a weighted graph. Sketch a planar diagram of G'.
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