1. Suppose a connected planar graph has 20 edges. If a planar representation of this graph...
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1. Suppose a connected planar graph has 20 edges. If a planar representation of this graph splits the plane into 10 regions, how many vertices does the graph have? 2. Draw the planar representation of a planar graph with 10 vertices and 21 edges. 3. Is it possible for a planar graph with 7 vertices to have degree sequence 1, 1, 1, 2, 2, 3, 5? Explain. 1. Suppose a connected planar graph has 20 edges. If a planar representation of this graph splits the plane into 10 regions, how many vertices does the graph have? 2. Draw the planar representation of a planar graph with 10 vertices and 21 edges. 3. Is it possible for a planar graph with 7 vertices to have degree sequence 1, 1, 1, 2, 2, 3, 5? Explain.
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Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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