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1. The graph G₁ is a planar connected graph. It has 24 edges, and 9 faces. How many vertices does G₁ have? Answer:

1. The graph G₁ is a planar connected graph. It has 24 edges, and 9 faces. How many vertices does G₁ have? Answer:

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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1. The graph G₁ is a planar connected graph. It has 24 edges, and 9 faces. How many vertices does G₁ have? Answer: 2. True or false: if G₂ is a connected graph with 8 edges, 17 faces, and 8 vertices, then G₂ is planar. True False 3. True or false: There is a regular convex polyhedron with triangular faces and with all vertices of degree 3. True False 4. Suppose the graph is planar but not connected, and has 5 components. Derive a variant of Euler's formula for this case. v-e+f=
Transcribed Image Text:1. The graph G₁ is a planar connected graph. It has 24 edges, and 9 faces. How many vertices does G₁ have? Answer: 2. True or false: if G₂ is a connected graph with 8 edges, 17 faces, and 8 vertices, then G₂ is planar. True False 3. True or false: There is a regular convex polyhedron with triangular faces and with all vertices of degree 3. True False 4. Suppose the graph is planar but not connected, and has 5 components. Derive a variant of Euler's formula for this case. v-e+f=
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