Sorting by prefix reversals

IAENG International Journal of Applied Mathematics

Volumn 40, Issue 4, 2010, Pages 1-4

  Popov, Vladimir Yu ^a  

^a URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Cayley networks; Diameter of network; Pancake problem; Prefix reversals; Symmetric group

Indexed keywords

EID: 78649857658     PISSN: 19929978     EISSN: 19929986     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Dweighter, H., "Problem E2569," The American Mathematical Monthly, V82, N1, p. 1010 1/75.
2. Gates, W.H., Papadimitriou, C.H., "Bounds for sorting by prefix reversal," Discrete Mathematics, V27, N1, pp. 47-57 1/79.
3. Cohen, D.S., Blum, M., "Improved bounds for sorting pancakes under a conjecture," Discrete Applied Mathematics, V59, N2, pp. 105-125 5/93.
4. Heydari, M.H., The pancake problem, PhD tesis, University of Texas, Dallas, 1993.
5. Aki, S.G., Qiu, K., "A novel routing scheme on the star and pancake networks and its applications," Parallel Computing, V19, N1, pp. 95-101 1/93.
6. Aki, S.G., Qiu, K., Stojmenovic, I., "Data communication and computational geometry on the star and pancake interconnection networks," Proceedings of the Third IEEE Symposium on Parallel and Distributed Processing, IEEE Press, pp. 415-422 10/91.
7. Aki, S.G., Qiu, K., Stojmenovic, I., "Fundamental algorithms for the star and pancake interconnection networks with applications to computational geometry," Networks, special issue on interconnection networks and algorithms, V23, N4, pp. 215-225 4/93.
8. Berthome, P., Ferreira, A., Perennes, S., "Optimal information dissemination in star and pancake networks," Proceedings of the 5th IEEE Symposium on Parallel and Distributed Processing, IEEE Press, pp. 720-724 10/93.
9. Heydari, M.H., Sudborough, I.H., "On the diameter of the pancake network," Journal of Algorithms, V25, N1, pp. 67-94 1/97.
10. Heydemann, M.-C., Ducourthial, B., "Cayley graphs and interconnection networks," Graph Symmetry, G. Hahn and G. Sabidussi (eds.), Number 497 in NATO ASI, series C: Math. Phys. Sci., Kluwer Academic Publishers, The Netherlands, pp. 167-224, 1997.
11. Akers, S.B., Krishnamurthy, B., "A group-theoretic model for symmetric interconnection networks," IEEE Transactions on Computers, V38, N4, pp. 555-566 4/89.
12. Annexstein, F., Baumslag, M., Rosenberg, A.L., "Group action graphs and parallel architectures," SIAM Journal on Computing, V19, N3, pp. 544-569 6/90.
13. Bass, D.W., Sudborough, I.H., "Pancake problems with restricted prefix reversals and some corresponding Cayley networks," Journal of Parallel and Distributed Computing archive, V63, N3, pp. 327-336 3/03.
14. Latifi, S., Srimani, P.K., "A new fixed degree regular network for parallel processing," Proceedings of the Eighth IEEE Symposium on Parallel and Distributed Processing, Los Alamitos, California, pp. 152-159 10/96.
15. Kwai, D.M., Parhami, B., "A class of fixed-degree Cayley-graph interconnection networks derived by pruning k-ary n-cubes," Proceedings of 1997 International Conference on Parallel Processing, IEEE Computer Society, pp. 92-95 8/97.
16. Srimani, P.K., Vadapalli, P., "Trivalent Cayley graphs for interconnection networks," Information Processing Letters, V54, N6, pp. 329-335 6/95.
17. Srimani, P.K., Vadapalli, P., "Shortest routing in trivalent Cayley graph network," Information Processing Letters, V57, N4, pp. 183-188 2/96.
18. Cherubini, A., Howie, J., Piochi, B., "Rank and status in semigroup theory," Communications in Algebra, V32, N7, pp. 2783-2802 7/04.