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Textbook: Introduction to Graph Theory by Robert J. Wilson 5th Edition Pg. 91 4.17 Let G be a simple plane graph with fewer than 12

Textbook: Introduction to Graph Theory by Robert J. Wilson 5th Edition Pg. 91

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4.17 Let G be a simple plane graph with fewer than 12 faces, in which each vertex has degree at least 3. () Use Euler's formula to prove that G has a face bounded by at most four edges. (i) Give an example to show that the result of part (i) is false if G has 12 faces

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