By Topic

Pancake problems with restricted prefix reversals and some corresponding Cayley networks

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Bass, D.W. ; Comput. Sci. Program, Texas Univ., Dallas, TX, USA ; Sudborough, I.H.

The pancake problem concerns the number of prefix reversals (“flips”) needed to sort the elements of an arbitrary permutation, which is the diameter of the n-dimensional pancake network. We restrict the problem by allowing only a few of the possible n-1 flips. Let fi denote a flip of size i. We consider sets with either O(1) flips or log2 n flips, and explore their corresponding Cayley networks, such as: The Subcuben network, for n=2k, defined by the log2 n flips {f2 ,f4,f8...fn}. Subcuben is isomorphic to a network obtained from an (n-1) dimensional hypercube, Qn-1, by deleting all but log2 n of the edges incident to each of its nodes, has diameter (3n/2)-2 (we give an optimum routing algorithm), and hosts Qn-1 with nearly optimum dilation. The Triadn network where n is odd and [n/2] mod 4≠0, defined by the set of flips {f[n/2] f[n/2] fn}. Triad n has n! nodes and diameter Θ(n log2 n). Both the n-dimensional shuffle-exchange and shuffle-exchange permutation networks can be emulated by Triadn with constant slowdown

Published in:

Parallel Processing, 1998. Proceedings. 1998 International Conference on

Date of Conference:

10-14 Aug 1998