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Revision History for A006069 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of directed Hamiltonian cycles (or Gray codes) on n-cube with a marked starting node.
(history; published version)
#41 by Andrew Howroyd at Sat Aug 29 11:29:54 EDT 2020
STATUS

reviewed

approved

#40 by Joerg Arndt at Sat Aug 29 08:54:07 EDT 2020
STATUS

proposed

reviewed

#39 by Michel Marcus at Sat Aug 29 08:42:58 EDT 2020
STATUS

editing

proposed

#38 by Michel Marcus at Sat Aug 29 08:42:48 EDT 2020
LINKS

H. Haanpaa and Patric R. J. Östergård, <a href="http://dx.doi.org/10.1090/S0025-5718-2013-02741-X">Counting Hamiltonian cycles in bipartite graphs, </a>, Math. Comp. 83 (2014), 979-995. doi:<a href="http://dx.doi.org/10.1090/S0025-5718-2013-02741-X">S0025-5718-2013-02741-X</a>

Michel Deza and Roman Shklyar, <a href="http://arxiv.org/abs/1003.4391">Enumeration of Hamiltonian Cycles in 6-cube</a>, arXiv:1003.4391v1 4391 [cs.DM], 2010. [There may be errors - see Haanpaa and Ostergard, 2012]

#37 by Michel Marcus at Sat Aug 29 08:40:59 EDT 2020
LINKS

D. Sensarma, S. S. Sarma, <a href="https://doi.org/10.15623/IJRET.2014.0303121">GMDES: A graph based modified Data Encryption Standard algorithm with enhanced security</a>, IJRET: International Journal of Research in Engineering and Technology 03:03 (2014), 653-660. See Section 2.2.

D. Sensarma, S. S. Sarma, <a href="https://doi.org/10.15623/IJRET.2014.0303121">GMDES: A graph based modified Data Encryption Standard algorithm with enhanced security</a>, IJRET: International Journal of Research in Engineering and Technology 03:03 (2014), 653-660. See Section 2.2.

STATUS

proposed

editing

#36 by Elijah Beregovsky at Sat Aug 29 08:32:54 EDT 2020
STATUS

editing

proposed

#35 by Elijah Beregovsky at Sat Aug 29 08:32:48 EDT 2020
LINKS

D. Sensarma, S. S. Sarma, <a href="httphttps://ijretdoi.org/Volumes/V03/I0310.15623/IJRET_110303121.pdf2014.0303121">GMDES: A graph based modified Data Encryption Standard algorithm with enhanced security</a>, IJRET: International Journal of Research in Engineering and Technology 03:03 (2014), 653-660. See Section 2.2.

STATUS

approved

editing

Discussion
Sat Aug 29
08:32
Elijah Beregovsky: Dead link
#34 by Alois P. Heinz at Sun Feb 02 20:49:54 EST 2020
STATUS

proposed

approved

#33 by Jon E. Schoenfield at Sun Feb 02 18:39:16 EST 2020
STATUS

editing

proposed

#32 by Jon E. Schoenfield at Sun Feb 02 18:39:13 EST 2020
LINKS

H. Haanpaa and P. Patric R. J. Ostergard, Östergård, Counting Hamiltonian cycles in bipartite graphs, Math. Comp. 83 (2014), 979-995. doi:<a href="http://dx.doi.org/10.1090/S0025-5718-2013-02741-X">S0025-5718-2013-02741-X</a>

FORMULA

a(n) = A003042(n)*2^n. - _Max Alekseyev, _, Jun 15 2006

EXTENSIONS

a(6) corrected by Haanpaa and Ostergard, Östergård, 2012. - N. J. A. Sloane, Sep 06 2012

STATUS

approved

editing