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4.1) (R.4) Please provide the graph for G o F. 1 5 F 2 3 4 1 5 G 2 3 4

4.1) (R.4) Please provide the graph for G o F. 1 5 F 2 3 4 1 5 G 2 3 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.1) (R.4) Please provide the graph for G o F. 5 6 F G²: 2 2 5 3 5 4.2) (R.4) A directed graph G has six vertices numbered 1 through 6. The graphs G² and G³ are given below. Use this information about G to answer the following questions. Note that with the information given it is not possible to recover G. An attempt to do so will result in a Not Yet. 3 G 2 G³: 3 LO 4 5 a) How many vertices can be reached by a walk of length 4 in G that starts at vertex 6? b) How many vertices can be reached by a walk of length 7 in G that starts at vertex 4? c) How many vertices have a self-loop in Gº? d) There is a walk of length 5 in G from vertex 3 to vertex 4. Give all possible values for the third vertex. e) What is the in degree of vertex 3 in the transitive closure of G?
Transcribed Image Text:4.1) (R.4) Please provide the graph for G o F. 5 6 F G²: 2 2 5 3 5 4.2) (R.4) A directed graph G has six vertices numbered 1 through 6. The graphs G² and G³ are given below. Use this information about G to answer the following questions. Note that with the information given it is not possible to recover G. An attempt to do so will result in a Not Yet. 3 G 2 G³: 3 LO 4 5 a) How many vertices can be reached by a walk of length 4 in G that starts at vertex 6? b) How many vertices can be reached by a walk of length 7 in G that starts at vertex 4? c) How many vertices have a self-loop in Gº? d) There is a walk of length 5 in G from vertex 3 to vertex 4. Give all possible values for the third vertex. e) What is the in degree of vertex 3 in the transitive closure of G?
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