Two-tier relaxed heaps

Abstract. We introduce an adaptation of run-relaxed heaps which provides efficient heap operations with respect to the number of element comparisons performed. Our data structure guarantees the worst-case cost of O(1) for find-min, insert, and decrease; and the worst-case cost of O(lg n) with at most lg n + 3 lg lg n + O(1) element comparisons for delete, improving the bound of 3 lg n + O(1) on the number of element comparisons known for run-relaxed heaps. Here, n denotes the number of elements stored prior to the operation in question, and lg n equals max {1, log2 n}.

• Type: Journal
• Year: 2008
• Where: ACTA
• Authors: Amr Elmasry, Claus Jensen, Jyrki Katajainen
• Keywords: ACTA 2008, Efficient Heap Operations, Run-relaxed Heaps, Worst-case Cost