Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, January 18, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Dejan Dukaric

The Pancake Problem

For a permutation R of the integers from 1 to n, let f(R) be the smallest number of prefix reversals that will transform R to the identity permutation, and let f(n) be the largest such f(R) for all R in the symmetric group Sn, where a prefix reversal will transform one permutation to another by taking a prefix of the permutation and then reverse this prefix (example: 34251 -> 24351). In my talk I will present proofs for the upper and lower bound of f(n). An application of the pancake problem is the pancake network which looks promising as a network for parallel algorithms.

Source for the proofs: W. Gates and C. Papadimitriou (1979), "Bounds for Sorting by Prefix Reversal"

Sources for further results: D.S. Cohen, M. Blum (1993), "On the Problem of Sorting Burnt Pancakes" M.H. Heydari, I.H. Sudborough (1997), "On the Diameter of the Pancake Network"

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