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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Number 13
13. The complete graph on six vertices is denoted by K6. It is defined as the graph with
six vertices in which every pair of vertices is joined by an edge.
(a) Draw K6.
(b) Is K6 planar? Explain.
(c) Does K6 have a Hamiltonian cycle? Explain.
14. What does the Four-Color Theorem say, and what is significant about the way it was
proved?
Transcribed Image Text:13. The complete graph on six vertices is denoted by K6. It is defined as the graph with six vertices in which every pair of vertices is joined by an edge. (a) Draw K6. (b) Is K6 planar? Explain. (c) Does K6 have a Hamiltonian cycle? Explain. 14. What does the Four-Color Theorem say, and what is significant about the way it was proved?
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