AF-heap

In computer science, the AF-heap is a type of priority queue for integer data, an extension of the fusion tree using an atomic heap proposed by M. L. Fredman and D. E. Willard.[1]

Using an AF-heap, it is possible to perform m insert or decrease-key operations and n delete-min operations on machine-integer keys in time O(m + n log n / log log n). This allows Dijkstra's algorithm to be performed in the same O(m + n log n / log log n) time bound on graphs with n edges and m vertices, and leads to a linear time algorithm for minimum spanning trees, with the assumption for both problems that the edge weights of the input graph are machine integers in the transdichotomous model.

See also

References

  1. ^ M. L. Fredman and D. E. Willard. Trans-dichotomous algorithms for minimum spanning trees and shortest paths. Journal of Computer and System Sciences 48, 533-551 (1994)


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