Let G be a simple connected plane graph with 6 vertices. (a) (b) (c) (d) What is the largest number of edges G can have? What is the least number of edges G can have? What is the largest number of faces G can have? Suppose that the numbers obtained in (a) & (c) are m & f respectively construct a simple connected plane graph with 6 vertices, m edges ar faces.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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Let G be a simple connected plane graph with 6 vertices.
(a)
(b)
(c)
(d)
What is the largest number of edges G can have?
What is the least number of edges G can have?
What is the largest number of faces G can have?
Suppose that the numbers obtained in (a) & (c) are m & f respectively,
construct a simple connected plane graph with 6 vertices, m edges and f
faces.
Transcribed Image Text:Let G be a simple connected plane graph with 6 vertices. (a) (b) (c) (d) What is the largest number of edges G can have? What is the least number of edges G can have? What is the largest number of faces G can have? Suppose that the numbers obtained in (a) & (c) are m & f respectively, construct a simple connected plane graph with 6 vertices, m edges and f faces.
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