Combinatorial Optimization
نویسنده
چکیده
Here we are given a finite connected undirected graph (V,E) (so V is the set of vertices and E the set of edges) and weights on the edges, i.e., c(e) ∈ R for all e ∈ E. The task is to find a set T ⊆ E such that (V, T ) is a (spanning) tree and ∑ e∈T c(e) is minimum. (Recall that a tree is a connected graph without cycles.) The figure below shows on the left a set V of eight points in the Euclidean plane. Assuming that (V,E) is the complete graph on these points and c is the Euclidean distances, the right-hand side shows an optimal solution.
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