An Efficient Construction Algorithm for a Class of Implicit Double-Ended Priority Queues

Priority queues and double-ended priority queues are fundamental data types in Computer Science, and various data structures have been proposed to implement them. In particular, diamond deques, interval heaps, min-max-pair heaps, and twin-heaps provide implicit structures for double-ended priority queues. Although these heap-like structures are essentially the same when they are presented in an abstract manner, they possess different implementations and thus have different construction algorithms. In this paper, we present a fast algorithm for building these data structures. Our results improve over previously fast known algorithms.