Title: Polynomial-time sortable stacks of burnt pancakes
Authors: Labarre, Anthony ×
Cibulka, Josef #
Issue Date: Mar-2011
Publisher: North-Holland Pub. Co.
Series Title: Theoretical Computer Science vol:412 issue:8-10 pages:695-702
Abstract: Pancake flipping, a famous open problem in computer science, can be formalised as the problem of sorting a permutation of positive integers using as few prefix reversals as possible. In that context, a prefix reversal of length k reverses the order of the first k elements of the permutation. The burnt variant of pancake flipping involves permutations of signed integers, and reversals in that case not only reverse the order of elements but also invert their signs. Although three decades have now passed since the first works on these problems, neither their computational complexity nor the maximal number of prefix reversals needed to sort a permutation is yet known. In this work, we prove a new lower bound for sorting burnt pancakes, and show that an important class of permutations, known as "simple permutations", can be optimally sorted in polynomial time.
ISSN: 0304-3975
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Informatics Section
× corresponding author
# (joint) last author

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