For the following graph the bold edges form a Minimum Spanni
For the following graph the bold edges form a Minimum Spanning Tree. What can you tell about the range of values for x?
Solution
The Minimum Spanning Tree given is;
A to B = 1;
B to E = 3;
B to C = 5;
A to F = 6;
E to D = X;
the total count of the activity is 15+X;
The unbold lines form the follwing range:
A to C = 10;
C to D = 9;
D to F =20;
This makes a total of 39.
For the given sequence to be still the Minimum Spanning Tree;
(15 + X) < 39
that is
X < 24
that is for value of X between (0 to 23), the given sequence will still be the minimum spanning tree.
