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A note on two problems in connexion with graphs Export

Numerische Mathematik, Vol. 1 (1959), pp. 269-271.

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We consider a graph with n vertices, all pairs of which are connected by an edge; each edge is of given positive length. The following two basic problems are solved. Problem 1: construct the tree of minimal total length between the n vertices. (A tree is a graph with one and only one path between any two vertices.) Problem 2: find the path of minimal total length between two given vertices.


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