Title:
|
Gray codes in graphs (English) |
Author:
|
Knor, Martin |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
44 |
Issue:
|
4 |
Year:
|
1994 |
Pages:
|
395-412 |
. |
Category:
|
math |
. |
MSC:
|
05A05 |
MSC:
|
05C38 |
MSC:
|
05C45 |
MSC:
|
05C78 |
MSC:
|
94A29 |
idZBL:
|
Zbl 0809.05065 |
idMR:
|
MR1301949 |
. |
Date available:
|
2009-09-25T10:58:32Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129572 |
. |
Reference:
|
[1] BIGGS N.: Some odd graph theory.In: Second International Conference on Combinatorial Mathematics (New York, 1978). Ann. New York Acad. Sci. 319, New York Acad. Sci., New York, 1979, pp. 71-81. MR 0556008 |
Reference:
|
[2] BITNER J. R., EHRLICH G., REINGOLD E. M.: Efficient generation of the binary reflected Gray code and its applications.Comm. ACM 19 (1976), 517-521. Zbl 0333.94006, MR 0424386 |
Reference:
|
[3] BUCK M., WIEDEMANN D.: Gray codes with restricted density.Discrete Math. 48 (1984), 163-171. Zbl 0572.05042, MR 0737262 |
Reference:
|
[4] CHASE P. J.: Algorithm 382 combinations of m out of n objects.Comm. ACM 13 (1970), 368, 376. |
Reference:
|
[5] CHASE P. J.: Transposition graphs.SIAM J. Comput. 2 (1973), 128-133. Zbl 0264.05120, MR 0342438 |
Reference:
|
[6] EHRLICH G.: Loopless algorithms for generating permutations, combinations, and other combinatorial configurations.J. Assoc. Comput. Mach. 20 (1973), 500-513. Zbl 0266.68018, MR 0366085 |
Reference:
|
[7] GILBERT E. N.: Gray codes and paths on the n-cube.Bell System Tech. J. 37 (1958), 815-826. MR 0094273 |
Reference:
|
[8] GRANT D. D., HOLTON D. A.: Stable and semi-stable unicyclic graphs.Discrete Math. 9 (1974), 277-288. Zbl 0286.05114, MR 0345876 |
Reference:
|
[9] GRAY F.: Pulse code communications.U. S. Patent 2632 058, March 17, 1953. |
Reference:
|
[10] HU T. C, RUSKEY F.: Generating binary trees lexicographically.SIAM J. Comput. 6 (1977), 745-758. Zbl 0366.68027, MR 0478737 |
Reference:
|
[11] JOHNSON S. M.: Generation of permutations by adjacent transposition.Math. Comp. 17 (1963), 282-285. Zbl 0114.01203, MR 0159764 |
Reference:
|
[12] JOICHI S. T., WHITE D. E.: Gray codes in graphs of subsets.Discrete Math. 31 (1980), 29-41. Zbl 0449.05043, MR 0578058 |
Reference:
|
[13] JOICHI S. T., WHITE D. E., WILLIAMSON S. G.: Combinatorial Gray codes.SIAM J. Comput. 9 (1980), 130-141. Zbl 0452.05009, MR 0557834 |
Reference:
|
[14] MEREDITH G. H. J., LLOYD E. K.: The Hamiltonian graphs $O_4$ to $O_7$.Combinatorica (1972), 229-236. MR 0457282 |
Reference:
|
[15] PROSKUROWSKI A., RUSKEY F.: Binary tree Gray codes.J. Algorithms 6 (1985), 225-238. Zbl 0593.68050, MR 0789905 |
Reference:
|
[16] PROSKUROWSKI A., RUSKEY F.: Generating binary trees by transpositions.In: SWAT 88. Lecture Notes in Comput. Sci. 318, Springer, New York-Berlin, 1988, pp. 199-207. Zbl 0651.68081, MR 1019370 |
Reference:
|
[17] RUSKEY F.: Adjacent interchange generation of combinations.J. Algorithms 9 (1988), 162-180. Zbl 0726.05003, MR 0936104 |
Reference:
|
[18] SAVAGE C. D.: Gray code sequences of partitions.J. Algorithms 10 (1989), 557-595. Zbl 0693.05006, MR 1022113 |
Reference:
|
[19] TCHUENTE M.: Generation of permutations by graphical exchanges.Ars Combin. 14 (1982), 115-122. Zbl 0508.05041, MR 0683982 |
. |