The Seven Bridges of Königsberg

Centuries ago, the bridge of the ancient city of Königsberg was a famous, almost problematic task. But this is not just a mathematical problem, it is also a story about the well-known Swiss mathematician Leonhard Euler who created research on topology and graph theory by solving this problem. The impact of this problem continued for centuries and helped us to develop some parts of mathematics. I do not have much knowledge about Euler, but one of the most important and influential mathematicians of Archimedes and Newton.

The practical aspect of this problem is to remember the seven bridges of Königsberg, which is a mathematical problem we already know well and this is the area we are now familiar with "geometry" It is the foundation that creates. It is graph theory. "Someone" in this scene is William Ron Hamilton, an Irish physicist and mathematician who continued to study mathematicians' research. We create a subset of mathematical problems directly related to it. Travel salesman problem familiar today

When studying the problem of the seven bridges of Königsberg in Königsberg, Leonhard Euler believes that the most fundamental characteristics of geometric figures are completely shape-independent, irrespective of their metrological properties It was. Euler calls this new geometry geometry (geometry) branch, but it is now called topology. The topology evolved from geometry, but it became a big independent field. Objects that may be continuously deformed are not distinguished. However, in the case of a hyperbolic knot, the object can maintain some geometric shape.

When Leonhard Euler announced his paper "The Seven Bridges of Fort Collins" in 1736, he probably did not believe how much influence it had on his work. Euler's research has influenced many mathematicians and later created a graph theory that is the basis of network theory. At the time, Euler's problem was to design a walk through Königsberg. It is to cross each bridge only once. Needless to say, we are now connected to social networks. All LinkedIn members are trying to develop their own network. However, the problem is "How to effectively build a network". - Of course, simply adding a person's number of connections will not work ... You need to use insights from network theory ... ... ...?