1.) Below is a picture of the bridges of the city of Königsberg which only shows how the bridges connect across the different rivers. Using the lands as the nodes and the brides as the edges, complete the table below. You may need to list letters more than once like I have done for node B. node Connection A A В 2.) Now that you have made the table of connections, construct the graph of the brides connecting to the parts of the city of Königsberg. Hint: there can be more than one edge connecting two nodes.
1.) Below is a picture of the bridges of the city of Königsberg which only shows how the bridges connect across the different rivers. Using the lands as the nodes and the brides as the edges, complete the table below. You may need to list letters more than once like I have done for node B. node Connection A A В 2.) Now that you have made the table of connections, construct the graph of the brides connecting to the parts of the city of Königsberg. Hint: there can be more than one edge connecting two nodes.
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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Transcribed Image Text:Graph Theory: Königsberg Bridge Activity
Here is a picture of the city, Königsberg. As you can see, the city has multiple rivers
flowing through the city that requires the residents to build multiple bridges to get from one part
of the city to the other. There are currently 7 bridges connecting certain parts of the city to
another. A tour guide is looking at taking a group of people on a bus tour across the city to show
them all the bridges. The tour guide wants to come up with a plan that has him crossing the
bridges in the city as few times as possible while still planning on going over all the bridges. He
has asked for your help in planning the tour. Use your knowledge of Graph Theory to help the
tour guide to plan the route for the bus tour.
Transcribed Image Text:1.) Below is a picture of the bridges of the city of Königsberg which only shows how the
bridges connect across the different rivers. Using the lands as the nodes and the brides
as the edges, complete the table below. You may need to list letters more than once like
have done for node B.
node
Connection
A
A
D
C
В
2.) Now that you have made the table of connections, construct the graph of the brides
connecting to the parts of the city of Königsberg. Hint: there can be more than one edge
connecting two nodes.
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