# A note on two problems in connexion with graphs

@article{Dijkstra1959ANO,
title={A note on two problems in connexion with graphs},
author={Edsger W. Dijkstra},
journal={Numerische Mathematik},
year={1959},
volume={1},
pages={269-271}
}
• E. Dijkstra
• Published 1 December 1959
• Mathematics, Computer Science
• Numerische Mathematik
We consider n points (nodes), some or all pairs of which are connected by a branch; the length of each branch is given. We restrict ourselves to the case where at least one path exists between any two nodes. We now consider two problems. Problem 1. Constrnct the tree of minimum total length between the n nodes. (A tree is a graph with one and only one path between every two nodes.) In the course of the construction that we present here, the branches are subdivided into three sets: I. the…
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