5. Consider the following graph G (a) How many paths of length 5 are there between vertices 1 and 2? (b) How many circuits of length 5 are there starting at 1? (c) How many circuits of length 5 are there starting at 2?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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5. Consider the following graph G
(a) How many paths of length 5 are there between vertices 1 and 2?
(b) How many circuits of length 5 are there starting at 1?
(c) How many circuits of length 5 are there starting at 2?
6. Use Dijkstra's algorithm to find a shortest path from a to z in the graph below.
6
2
9
7. Prove that the two graphs in Figure 1 are isomorphic.
Figure 1: The graphs of Question 7
Transcribed Image Text:5. Consider the following graph G (a) How many paths of length 5 are there between vertices 1 and 2? (b) How many circuits of length 5 are there starting at 1? (c) How many circuits of length 5 are there starting at 2? 6. Use Dijkstra's algorithm to find a shortest path from a to z in the graph below. 6 2 9 7. Prove that the two graphs in Figure 1 are isomorphic. Figure 1: The graphs of Question 7
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