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On Central Spanning Trees of a Graph

We consider the collection of all spanning trees of a graph with distance between them based on the size of the symmetric difference of their edge sets. A central spanning tree of a graph is one for which the maximal distance to all other spanning trees is minimal. We prove that the problem of constructing a central tree is algorithmically difficult and leads to an NP-complete problem.

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Prof. Firoz Kaderali Print