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This argument is considered the first result in graph theory, and paths through graphs that visit every edge once are now called Eulerian paths.
The edges were all the arcs between those vertices. These graphs were also Eulerian, meaning that the sand artist had to visit each edge only once and had to return to a starting point.
There is a line connecting Euler to modern data science. What Euler did was to model the bridges and the paths connecting them as nodes and edges in a graph.
The cosmos is a unique laboratory for testing the laws of physics, in particular those of Euler and Einstein. Euler described the movements of celestial objects, while Einstein described the way ...
Euler’s paper arguably marks the beginning of topology and graph theory. Even the paper’s title shows that Euler himself was aware that he was dealing with a new type of geometry in which ...