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9.1 Explain whether a graph with each of the following characteristics exists. If so, give an example. If not, justify your answer. (a) A planar graph with 6 vertices, 10 edges and 5 faces. (b) A planar graph G with 6 vertices with degrees 2, 2, 3, 4, 4, 5. (c) A planar graph with 7 vertices, 10 edges and 4 faces. (d) A planar graph with 10 vertices and edges.

9.1 Explain whether a graph with each of the following characteristics exists. If so, give an example. If not, justify your answer. (a) A planar graph with 6 vertices, 10 edges and 5 faces. (b) A planar graph G with 6 vertices with degrees 2, 2, 3, 4, 4, 5. (c) A planar graph with 7 vertices, 10 edges and 4 faces. (d) A planar graph with 10 vertices and edges.

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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9.1 Explain whether a graph with each of the following characteristics exists. If so, give an example. If not, justify your answer. (a) A planar graph with 6 vertices, 10 edges and 5 faces. (b) A planar graph G with 6 vertices with degrees 2, 2, 3, 4, 4, 5. (c) A planar graph with 7 vertices, 10 edges and 4 faces. (d) A planar graph with 10 vertices and edges.
Transcribed Image Text:9.1 Explain whether a graph with each of the following characteristics exists. If so, give an example. If not, justify your answer. (a) A planar graph with 6 vertices, 10 edges and 5 faces. (b) A planar graph G with 6 vertices with degrees 2, 2, 3, 4, 4, 5. (c) A planar graph with 7 vertices, 10 edges and 4 faces. (d) A planar graph with 10 vertices and edges.
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