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.
Using an AF-heap, it is possible to perform insert or decrease-key operations and delete-min operations on machine-integer keys in time . This allows Dijkstra's algorithm to be performed in the same time bound on graphs with edges and 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.