4) This exercise comes to you, courtesy of Euler himself. Here is the question in Euler's own words, accompanied by the diagram shown in the figure below. Let us take an example of two islands with four rivers forming the surrounding water. There are fifteen bridges marked a, b, c, d, etc., across the water around the islands and the adjoining rivers. The question is whether a journey can be arranged that will pass over all the bridges but not over any of them more than once.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4) This exercise comes to you, courtesy of Euler himself, Here is the question in Euler's own words, accompanied by the
diagram shown in the figure below.
Let us take an example of two islands with four rivers forming the surrounding water. There
are fifteen bridges marked a, b, c, d, etc., across the water around the islands and the adjoining
rivers. The question is whether a journey can be arranged that will pass over all the bridges
but not over any of them more than once.
Draw a graph representing the problem. Label them properly. The answer to the question of Euler is that the "journey"
is possible. Explain why it is possible. Afterward, provide a possible "journey" in the given problem. Label the "journey"
using the letters for the bridges.
Transcribed Image Text:4) This exercise comes to you, courtesy of Euler himself, Here is the question in Euler's own words, accompanied by the diagram shown in the figure below. Let us take an example of two islands with four rivers forming the surrounding water. There are fifteen bridges marked a, b, c, d, etc., across the water around the islands and the adjoining rivers. The question is whether a journey can be arranged that will pass over all the bridges but not over any of them more than once. Draw a graph representing the problem. Label them properly. The answer to the question of Euler is that the "journey" is possible. Explain why it is possible. Afterward, provide a possible "journey" in the given problem. Label the "journey" using the letters for the bridges.
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