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{http://isa-afp.org/entries/Binomial-Heaps.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Used by: Collections