# Binomial Heaps and Skew Binomial Heaps

 Title: Binomial Heaps and Skew Binomial Heaps Authors: Rene Meis (rene /dot/ meis /at/ uni-due /dot/ de), Finn Nielsen (finn /dot/ nielsen /at/ uni-muenster /dot/ de) and Peter Lammich Submission date: 2010-10-28 Abstract: We implement and prove correct binomial heaps and skew binomial heaps. Both are data-structures for priority queues. While binomial heaps have logarithmic findMin, deleteMin, insert, and meld operations, skew binomial heaps have constant time findMin, insert, and meld operations, and only the deleteMin-operation is logarithmic. This is achieved by using skew links to avoid cascading linking on insert-operations, and data-structural bootstrapping to get constant-time findMin and meld operations. Our implementation follows the paper by Brodal and Okasaki. BibTeX: @article{Binomial-Heaps-AFP, author = {Rene Meis and Finn Nielsen and Peter Lammich}, title = {Binomial Heaps and Skew Binomial Heaps}, journal = {Archive of Formal Proofs}, month = oct, year = 2010, note = {\url{https://isa-afp.org/entries/Binomial-Heaps.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Used by: Collections, JinjaThreads Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.