Consider the network shown in Fig. 33. (a) How many different spanning trees does this

Chapter 7, Problem 30

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QUESTION:

Consider the network shown in Fig. 33. (a) How many different spanning trees does this network have? (b) Find a spanning tree that has the largest degree of separation between H and J. (c) Find a spanning tree that has the smallest degree of separation between K and G.

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QUESTION:

Consider the network shown in Fig. 33. (a) How many different spanning trees does this network have? (b) Find a spanning tree that has the largest degree of separation between H and J. (c) Find a spanning tree that has the smallest degree of separation between K and G.

ANSWER:

Step 1 of 4

(a) The network has

 vertices

 edges.

The redundancy of the network is

Hence to find a spanning tree we will have to "discard" two edges. Four of these edges are bridges of the network, and they will have to be part of any spanning tree.

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