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Suppose G is a simple connected graph with degree sequence (4, 4, 3, 2, 2, 2, 2, 1). a. Draw this as a planar graph. b. Does your graph contain any Euler paths? If so, draw the path. If not, mention why it's not possible? c. Euler cycles? If so, draw the cycle. If not, mention why it's not possible? d. Hamilton paths? If so, draw the path. If not, mention why it's not possible? e. What is the chromatic number of your graph?

Suppose G is a simple connected graph with degree sequence (4, 4, 3, 2, 2, 2, 2, 1). a. Draw this as a planar graph. b. Does your graph contain any Euler paths? If so, draw the path. If not, mention why it's not possible? c. Euler cycles? If so, draw the cycle. If not, mention why it's not possible? d. Hamilton paths? If so, draw the path. If not, mention why it's not possible? e. What is the chromatic number of your graph?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose G is a simple connected graph with degree sequence (4, 4, 3, 2, 2, 2, 2, 1). a. Draw this as a planar graph. b. Does your graph contain any Euler paths? If so, draw the path. If not, mention why it's not possible? c. Euler cycles? If so, draw the cycle. If not, mention why it's not possible? d. Hamilton paths? If so, draw the path. If not, mention why it's not possible? e. What is the chromatic number of your graph?
Transcribed Image Text:Suppose G is a simple connected graph with degree sequence (4, 4, 3, 2, 2, 2, 2, 1). a. Draw this as a planar graph. b. Does your graph contain any Euler paths? If so, draw the path. If not, mention why it's not possible? c. Euler cycles? If so, draw the cycle. If not, mention why it's not possible? d. Hamilton paths? If so, draw the path. If not, mention why it's not possible? e. What is the chromatic number of your graph?
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