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The Seven Bridges of K?nigsberg is a historically notable math problem where the city of K?nigsberg, Prussia (now Kaliningrad, Russia) was divided by a river and included two islands connected to the mainland and each other by seven bridges. Leonhard Euler proved in 1736 that there was no possible walk through the city where a person could cross each bridge once and only once, laying the foundations for graph theory and topology.
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![The Seven Bridges of K?nigsberg is a historically
notable problem in mathematics. Its negative resolution
by Leonhard Euler in 1736 laid the foundations of graph
theory and prefigured the idea of topology.[1]
The city of K?nigsberg in Prussia (now Kaliningrad,
Russia) was set on both sides of the Pregel River, and
included two large islands which were connected to
each other and the mainland by seven bridges. The
problem was to devise a walk through the city that
would cross each bridge once and only once, with the
provisos that: the islands could only be reached by the
bridges and every bridge once accessed must be
crossed to its other end. The starting and ending points
of the walk need not be the same.
Euler proved that the problem has no solution. The
difficulty was the development of a technique of
analysis and of subsequent tests that established this
assertion with mathematical rigor.](https://image.slidesharecdn.com/presentation1-160405141855/85/Presentation1-2-320.jpg)
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- 2. The Seven Bridges of K?nigsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1736 laid the foundations of graph theory and prefigured the idea of topology.[1] The city of K?nigsberg in Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges. The problem was to devise a walk through the city that would cross each bridge once and only once, with the provisos that: the islands could only be reached by the bridges and every bridge once accessed must be crossed to its other end. The starting and ending points of the walk need not be the same. Euler proved that the problem has no solution. The difficulty was the development of a technique of analysis and of subsequent tests that established this assertion with mathematical rigor.
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