13. A connected graph with six vertices and six edges. tree with five vertices cal degree of 6.,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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13. A connected graph with six
vertices and six edges.
12. A tree with five vertices
and a total degree of 6.
Transcribed Image Text:13. A connected graph with six vertices and six edges. 12. A tree with five vertices and a total degree of 6.
For each of the following, either draw a graph with the specified properties or explain why
no such graph exists.
8. A circuit-free graph with eight
vertices and four edges.
9. A connected graph with nine
vertices, eight edges, and a circuit.
10. A tree with seven vertices
11. A graph that has three vertices
and a total degree of 12.
and two edges but is not a tree
Transcribed Image Text:For each of the following, either draw a graph with the specified properties or explain why no such graph exists. 8. A circuit-free graph with eight vertices and four edges. 9. A connected graph with nine vertices, eight edges, and a circuit. 10. A tree with seven vertices 11. A graph that has three vertices and a total degree of 12. and two edges but is not a tree
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