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The laboratory and computer experimental results show that plasmodium of Physarum is capable of computing a basic spanning tree and manipulating of light-weight objects.
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As a result we obtain a spanning tree of K ≤ n.
A spanning tree is a tree which connects all vertices in the network.
The algorithm creates and progressively merges sub-trees of a graph in building a minimum cost spanning tree.
There are many possibilities of connecting nodes, called the spanning tree, but a minimum spanning tree (MST) has the least sum of weights for all connecting edges among all spanning trees.
Definition 2. Minimum spanning tree [35]: given a connected weighted graph, a minimum spanning tree covers all the vertices (contains edges) of that has minimal total edge weight.
We created a random spanning tree for a network model by using random walk approach [24].
A polynomial approximation algorithm was presented by constructing a minimum spanning tree [25].
It finds a minimum spanning tree using a greedy strategy based on COST l.
A minimum spanning tree is obtained using Kruskal's algorithm [36].
The original code used a weighted spanning tree to compute the membership in linearithmic time.
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