Quiz 3

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Stony Brook University *

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301

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Mathematics

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Apr 3, 2024

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pdf

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Question 1 5/ 5 points For which values of 70 does kn have an Euler Cycle? Ke v K7 Question 2 5/ 5 points For which value of 71 does Kn have an Euler Trail but not an Euler Cycle? vJ Ko Ks K4 Ks Ke K7
Question 3 10 / 10 points Determine which of the following properties (if any) apply to the following graph: (note that an Euler Cycle is not an Euler Trail, however a Hamilton Circuit does imply a Hamilton Path). This graph has an Euler Cycle. | This graph has an Euler Trail. +~ | This graph has a Hamilton Circuit. +~ This graph has a Hamilton Path. +~ | This graph is Biapartite. Question 4 10 / 10 points Determine which of the following properties (if any) apply to the following graph: (note that an Euler Cycle is not an Euler Trail, however a Hamilton Circuit does imply a Hamilton Path). This graph has an Euler Cycle. + | This graph has an Euler Trail. | This graph has a Hamilton Circuit. | This graph has a Hamilton Path. This graph is Biapartite.
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