Science & technology

Euler solves the Konigsberg bridge problem and founds graph theory

1735

The city of Konigsberg in Prussia, now Kaliningrad, had seven bridges across the river Pregel linking two islands and the banks, and the people wondered if it was possible to cross all of them once and only once in a walk. In 1735 the Swiss mathematician Leonhard Euler, working in St Petersburg, showed that it is impossible, by reducing the problem to points and links and proving that a route exists only if at most two points have an odd number of links. His paper, presented in August 1735 and published in 1741, is regarded as the beginning of graph theory and topology, now used in networks, computing and logistics.

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