Determine a minimal spanning tree in a network works

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Reference no: EM131851252

Problem

Dijkstra's algorithm to compute a minimal spanning tree in a network works by considering all edges in any convenient order. As in Kruskal's algorithm, we select edges for a spanning tree, by adding edges to an initially empty set. However, each edge is now selected as it is considered, but if it creates a cycle together with the previously selected edges, the most expensive edge in this cycle is deselected. Prove that the edges chosen by Dijkstra's algorithm also form a minimal spanning tree of a connected network.

Reference no: EM131851252

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