a) is the graph simple? If no, why not? b) is the graph complete? If no, why not? c) is the graph connected? If no, why not? d) Can you find two paths from 3 to 1? If yes, give both paths. e) Can you find a cycle? If yes, give one cycle. f) Can you find an edge whose removal will make the graph acyclic? If yes, give one edge. g) Can you find two nodes that removing an edge between them would make the graph unconnected? If yes, give the two nodes. h) What nodes are reachable from node 4? i) Which 2 nodes have the longest shortest path between them, and what is the path length?

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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Question

a) is the graph simple? If no, why not?

b) is the graph complete? If no, why not?

c) is the graph connected? If no, why not?

d) Can you find two paths from 3 to 1? If yes, give both paths.

e) Can you find a cycle? If yes, give one cycle.

f) Can you find an edge whose removal will make the graph acyclic? If yes, give one
edge.

g) Can you find two nodes that removing an edge between them would make the
graph unconnected? If yes, give the two nodes.

h) What nodes are reachable from node 4?

i) Which 2 nodes have the longest shortest path between them, and what is the path length?

7
5
2
10
8
6
Transcribed Image Text:7 5 2 10 8 6
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