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Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum
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Consider the graph in Fig. 33. (a) Find a path from C to F passing through vertex B but

Chapter 5, Problem 11

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QUESTION:

Consider the graph in Fig. 33.

(a) Find a path from C to F passing through vertex B but not through vertex D.

(b) Find a path from C to F passing through both vertex B and vertex D.

(c) Find a path of length 4 from C to F.

(d) Find a path of length 7 from C to F.

(e) How many paths are there from C to A?

(f) How many paths are there from H to F?

(g) How many paths are there from C to F?

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QUESTION:

Consider the graph in Fig. 33.

(a) Find a path from C to F passing through vertex B but not through vertex D.

(b) Find a path from C to F passing through both vertex B and vertex D.

(c) Find a path of length 4 from C to F.

(d) Find a path of length 7 from C to F.

(e) How many paths are there from C to A?

(f) How many paths are there from H to F?

(g) How many paths are there from C to F?

ANSWER:

Step 1 of 7

a) The path from C to F without D passing through B is given as

\(C \rightarrow B \rightarrow A \rightarrow H \rightarrow F\)

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