Bipartite binomial heaps

Research output: Contribution to journalJournal articleResearchpeer-review

  • Amr Elmasry
  • Claus Jensen
  • Jyrki Katajainen

We describe a heap data structure that supports Minimum, Insert, and Borrow at O(1) worst-case cost, Delete at O(lgn) worst-case cost including at most lgn + O(1) element comparisons, and Union at O(lgn) worst-case cost including at most lgn + O(lglgn) element comparisons, where n denotes the (total) number of elements stored in the data structure(s) prior to the operation. As the resulting data structure consists of two components that are different variants of binomial heaps, we call it a bipartite binomial heap. Compared to its counterpart, a multipartite binomial heap, the new structure is simpler and mergeable, still retaining the efficiency of the other operations.

Original languageEnglish
JournalRAIRO - Theoretical Informatics and Applications
Volume51
Issue number3
Pages (from-to)121-133
Number of pages13
ISSN0988-3754
DOIs
Publication statusPublished - Jul 2017

    Research areas

  • Comparison complexity, Data structures, Heaps, Numeral systems

ID: 188448401