Computer Science & AI · 1959

A Note on Two Problems in Connexion with Graphs

Edsger W. Dijkstra

Mathematical Centre, Amsterdam

Cited by 26,000+
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Dijkstra's three-page note introduced two classic graph algorithms, including the shortest-path algorithm that now bears his name. It finds the minimum-cost route from a source to all other nodes in a weighted graph.

Dijkstra's algorithm underpins routing, navigation, and network analysis.

An algorithmic construction: nodes are progressively added to a solved set in order of increasing distance from the source, greedily relaxing edges to neighbouring nodes.

Keywords

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Étude Science indexes and summarises this work; it is not the publisher. The summary above is written by Étude. For the definitive text, figures, and data, please consult the original publication via the link above. Dijkstra (1959) hold the rights to the original work.