Welcome to Murphman’s Amusement Park! A guest of the park would like to start at the Entrance, walk along each of the midway streets (colored in grey) exactly once, and then leave at the Exit. Note that the railroad tracks are colored purple and are not midway streets. Warning: printing out this quiz in black & white may hide the differences in color. (a) Draw a graph in the box on the following page corresponding to this guest’s situation of the midway streets. (b) Determine whether or not the graph has an Eulerian circuit, and if so, give one. If it does not, then explain why not. If the graph does not have an Eulerian circuit, determine whether it has an Eulerian path, and if it does, give one. If it does not, then explain why not. (c) Is it possible for the guest to start at the Entrance, walk along all of the midway streets (colored in grey) exactly once, and then leave at the Exit?
Welcome to Murphman’s Amusement Park! A guest of the park would like to start at the Entrance, walk along each of the midway streets (colored in grey) exactly once, and then leave at the Exit. Note that the railroad tracks are colored purple and are not midway streets. Warning: printing out this quiz in black & white may hide the differences in color. (a) Draw a graph in the box on the following page corresponding to this guest’s situation of the midway streets. (b) Determine whether or not the graph has an Eulerian circuit, and if so, give one. If it does not, then explain why not. If the graph does not have an Eulerian circuit, determine whether it has an Eulerian path, and if it does, give one. If it does not, then explain why not. (c) Is it possible for the guest to start at the Entrance, walk along all of the midway streets (colored in grey) exactly once, and then leave at the Exit?
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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Question
Welcome to Murphman’s Amusement Park! A guest of the park would like to
start at the Entrance, walk along each of the midway streets (colored in grey)
exactly once, and then leave at the Exit. Note that the railroad tracks are colored
purple and are not midway streets. Warning: printing out this quiz in black &
white may hide the differences in color.
start at the Entrance, walk along each of the midway streets (colored in grey)
exactly once, and then leave at the Exit. Note that the railroad tracks are colored
purple and are not midway streets. Warning: printing out this quiz in black &
white may hide the differences in color.
(a) Draw a graph in the box on the following page corresponding to this
guest’s situation of the midway streets.
guest’s situation of the midway streets.
(b) Determine whether or not the graph has an Eulerian circuit, and if so, give
one. If it does not, then explain why not. If the graph does not have an
Eulerian circuit, determine whether it has an Eulerian path, and if it does, give
one. If it does not, then explain why not.
(c) Is it possible for the guest to start at the Entrance, walk along
all of the midway streets (colored in grey) exactly once, and then leave at the
Exit?
one. If it does not, then explain why not. If the graph does not have an
Eulerian circuit, determine whether it has an Eulerian path, and if it does, give
one. If it does not, then explain why not.
(c) Is it possible for the guest to start at the Entrance, walk along
all of the midway streets (colored in grey) exactly once, and then leave at the
Exit?
Transcribed Image Text:ada
Entrance
出?
RR bridge
感
Exit
RR bridge
(train tracks)
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