This is a parallel heapify algorithm made to run in logarithmic span, at the cost of exponential work.
You can find a full description of the algorithm in PDF form from the
releases section.
Also included is an implementation of the algorithm in C++11 using the OpenMP library,
although it is limited in use due to bounds on integer size with the library.
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Parallel heapify algorithm with an implementation in C++11 and OpenMP
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