Comparing star and pancake networks

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2566 LNCS, Issue , 2002, Pages 18-36

  Morales, Linda ^a   Sudborough, I Hal ^b  

^a TEXAS A AND M UNIVERSITY COMMERCE   (United States)

^b The University of Texas at Dallas   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EMBEDDINGS;

PREFIX REVERSALS; SIGNED PERMUTATIONS; STAR NETWORK;

STARS;

EID: 38149020797     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36377-7_2     Document Type: Article

References (11)

1. S. Akers and B. Krishnamurthy, "A group-theoretic model for symmetric interconnection networks," IEEE Trans. Comput., vol. C-38, no.4, pp. 555-566, 1989.
2. A. Bouabdallah, M. C. Heydemann, J. Opatrny, and D. Sotteau, "Embedding Complete Binary Trees into Star and Pancake Graphs," Theory of Computer Systems, v. 31, pp. 279-305, 1998
3. D. S. Cohen and M. Blum, "Improved bounds for sorting pancakes under a conjecture," Discrete Applied Mathematics, 1993
4. V. Faber, J.W. Moore, and W. Y. C. Chen, "Cycle prefix digraphs for symmetric interconnection networks," Networks, vol. 23, John Wiley and Sons, 1993, pp. 641-649.
5. L. Morales, Z. Miller, D. Pritikin, and I. H. Sudborough, "One-to-Many Embeddings of Hypercubes into Cayley Graphs Generated by Reversals", Theory of Computing Systems, 34, 2001, pp. 399-431.
6. W. H. Gates and C. H. Papadimitriou, "Bounds for sorting by prefix reversal," Discrete Math., vol. 27, pp.47-57, 1979.
7. M. H. Heydari and I. H. Sudborough, "On sorting by prefix reversals and the diameter of pancake networks," J. Algorithms, October, 1997.
8. F. T. Leighton, Introduction to Parallel Algorithms and Architectures: Arrays, Trees, Hypercubes, Morgan Kaufmann Publishers, 1992.
9. Z. Miller, D. Pritikin, and I. H. Sudborough, "Bounded dilation maps of hypercubes into Cayley graphs on the symmetric group," Math Systems Theory 29 (1996), pp. 551-572
10. Z. Miller, D. Pritikin, and I. H. Sudborough, "Near embeddings of hypercubes into Cayley graphs on the symmetric group," IEEE Trans. Comput., vol. 43, no.1, pp. 13-22, 1994.
11. M. Nigam, S. Sahni, and B. Krishnamurthy, "Embedding hamiltonians and hypercubes in star interconnection graphs," in Proc. Int. Conf Parallel Processing, vol. 1990.