We call the circles “vertices” and the lines “edges.” Today graph theory is a major area of math and computer science with wide-ranging applications. Graphs don’t have to represent land ...

Euler formalized the relationships between nodes and edges. That formed the basis for many graph algorithms that can tackle problems such as the bridges of Königsberg.

It also called to mind a “Eulerian graph” in mathematics, which involves a trail that traverses every edge exactly once while starting and ending at the same point. On supporting science ...

In 1735, Leonhard Euler (1707–1783), then living in St. Petersburg, ... Representation (above) of the Königsberg bridge problem as a graph of points and lines (vertices and edges).

Université de Genève. (2023, June 22). Einstein and Euler put to the test at the edge of the Universe. ScienceDaily. Retrieved June 2, 2025 from www.sciencedaily.com / releases / 2023 / 06 ...