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In this puzzle you were tasked with finding a path that would travel through every doorway of the house exactly once. Using what you now know from graph theory, build two puzzle of your own. The house must contain 6 rooms, and represent a connected graph. The goal is the same: to travel through every doorway of the house exactly once. H B F D E (a) In this version of the puzzle, ensure that there is exactly one solution. (How can you guarantee it will have a solution?) (b) In this version of the puzzle, ensure that there is no solution. (How can you guarantee it will have no solution?)

In this puzzle you were tasked with finding a path that would travel through every doorway of the house exactly once. Using what you now know from graph theory, build two puzzle of your own. The house must contain 6 rooms, and represent a connected graph. The goal is the same: to travel through every doorway of the house exactly once. H B F D E (a) In this version of the puzzle, ensure that there is exactly one solution. (How can you guarantee it will have a solution?) (b) In this version of the puzzle, ensure that there is no solution. (How can you guarantee it will have no solution?)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In this puzzle you were tasked with finding a path that would travel through every doorway of the house exactly once. Using what you now know from graph theory, build two puzzle of your own. The house must contain 6 rooms, and represent a connected graph. The goal is the same: to travel through every doorway of the house exactly once. A H B G HE D E (a) In this version of the puzzle, ensure that there is exactly one solution. (How can you guarantee it will have a solution?) (b) In this version of the puzzle, ensure that there is no solution. (How can you guarantee it will have no solution?)
Transcribed Image Text:In this puzzle you were tasked with finding a path that would travel through every doorway of the house exactly once. Using what you now know from graph theory, build two puzzle of your own. The house must contain 6 rooms, and represent a connected graph. The goal is the same: to travel through every doorway of the house exactly once. A H B G HE D E (a) In this version of the puzzle, ensure that there is exactly one solution. (How can you guarantee it will have a solution?) (b) In this version of the puzzle, ensure that there is no solution. (How can you guarantee it will have no solution?)
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