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A simpler minimum spanning tree verification algorithm. (English) Zbl 0868.68061
Summary: The problem considered here is that of determining whether a given spanning tree is a minimal spanning tree. In 1984 Komlós presented an algorithm which required only a linear number of comparisons, but nonlinear overhead to determine which comparisons to make. We simplify his algorithm and give a linear-time procedure for its implementation in the unit cost RAM model. The procedure uses table lookup of a few simple functions, which we precompute in time linear in the size of the tree.

MSC:
68W10 Parallel algorithms in computer science
68R10 Graph theory (including graph drawing) in computer science
Keywords:
spanning tree
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