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Link-based data structures, such as linked lists and binary search trees,have many well-known rearrangement steps allowing for efficient implementationsof insertion, deletion, and other operations. We describe a rearrangementprimitive designed for link-based, heap-ordered priority queues in thecomparison model, such as those similar to Fibonacci heaps or binomial heaps.  In its most basic form, the primitive rearranges a collection of heap-orderedperfect binary trees. Doing so offers a data structure control on the number oftrees involved in such a collection, in particular keeping this numberlogarithmic in the number of elements. The rearrangement step is free from anamortized complexity standpoint (using an appropriate potential function).

A rearrangement step with potential uses in priority queues