Abstract

Abstract Fast parallel updating algorithms are proposed for the following problems: minimum-depth search for general graphs; depth-first search and breadth-depth search for directed acyclic graphs. The computational model used is a shared memory single-instruction stream, multiple-data stream computer that allows only the read conflict. The start-over algorithms for all these spanning tree problems are based on the “growing-by-doubling” paradigm and hence have a similar structure. It is shown that the same technique is equally effective in designing algorithms for certain updating problems with reference to the graph searching. The time complexity of all these updating algorithms are shown to be less than the corresponding start-over algorithms by a factor of log n.

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