References
- Bae , M. M. and Bose , B. 2003 . Edge disjoint Hamiltonian cycles in k-ary n-cubes and hypercubes . IEEE Trans. Comput. , 52 : 1271 – 1284 . (doi:10.1109/TC.2003.1234525)
- Bermond , J.-C. , Favaron , O. and Maheo , M. 1989 . Hamiltonian decomposition of Cayley graphs of degree 4 . J. Comb. Theory , 46 : 142 – 153 . (doi:10.1016/0095-8956(89)90040-3)
- Compton , R. C. and Williamson , S. G. 1993 . Doubly adjacent Gray codes for the symmetric group . Linear Multilinear Algebra , 35 : 237 – 293 . (doi:10.1080/03081089308818261)
- Evans , D. J. , Yang , X. and Megson , G. M. 2005 . The locally twisted cubes . Int. J. Comput. Math. , 82 : 401 – 413 . (doi:10.1080/0020716042000301752)
- Greenhill , C. S. , Han Kim , J. and Wormald , N. C. 2004 . Hamiltonian decompositions of random bipartite regular graphs . J. Combin. Theory Ser. B , 90 ( 2 ) : 195 – 222 . (doi:10.1016/j.jctb.2003.07.001)
- Harel , D. , Akers , S. B. and Krishnamurthy , B. The star graph: An attractive alternative to the n-cube . International Conference on Parallel Processing . Chicago , IL . pp. 393 – 400 .
- Hsieh , S. Y. and Wu , C. Y. 2010 . Edge-fault-tolerant Hamiltonicity of locally twisted cubes under conditional edge faults . J. Comb. Optim. , 19 : 16 – 30 . (doi:10.1007/s10878-008-9157-x)
- Hsieh , S.-Y. , Chen , G.-H. and Ho , C.-W. 2000 . Hamiltonian-laceability of star graphs . Networks , 36 : 225 – 232 . (doi:10.1002/1097-0037(200012)36:4<225::AID-NET3>3.0.CO;2-G)
- Hung , R. W. 2011 . Embedding two edge-disjoint Hamiltonian cycles into locally twisted cubes . Theoret. Comput. Sci. , 412 : 4747 – 4753 . (doi:10.1016/j.tcs.2011.05.004)
- Hussak , W. and Schroder , H. 2010 . A Hamiltonian decomposition of 5-star . Int. J. Comput. Inf. Eng. , 4 ( 1 ) : 39 – 43 .
- Jirimutu , J. F. and Wang , J. 2001 . Hamiltonian decomposition of complete bipartite r-hypergraphs . Acta Math. Appl. Sin. , 17 ( 4 ) : 563 – 566 . (doi:10.1007/BF02669710)
- Jirimutu , J. F. and Wang , J. 2010 . Hamilton decomposition of complete bipartite 3-uniform hypergraphs . J. Mar. Sci. Technol. , 18 ( 5 ) : 757 – 758 .
- Kompel'makher , V. F. and Liskovets , V. A. 1975 . Sequential generation of arrangements by means of a basis of transpositions . Kibernetika , 3 : 17 – 21 .
- Lin , C.-K. , Huang , H.-M. , Hsu , L.-H. and Bau , S. 2005 . Mutually independent Hamiltonian paths in star networks . Networks , 46 : 110 – 117 . (doi:10.1002/net.20078)
- Micheneau , C. 1997 . Disjoint Hamiltonian cycles in recursive circulant graphs . Inform. Process. Lett. , 61 : 259 – 264 . (doi:10.1016/S0020-0190(97)00020-3)
- Okuda , K. and Song , S. W. Revisiting Hamiltonian decomposition of the hypercube . Proceedings of the 13th Symposium on Integrated Circuits and Systems Design . Manaus . pp. 55 – 60 .
- Rosenfeld , M. , Ryjacek , Z. , Cada , R. and Kaiser , T. 2009 . Disjoint Hamilton cycles in the star graph . Inform. Process. Lett. , 110 : 30 – 35 . (doi:10.1016/j.ipl.2009.10.001)
- Rowley , R. and Bose , B. 1993 . On the number of disjoint Hamiltonian cycles in De Bruijn graphs Oregon State University Tech. Rep. 93-80-09
- Yang , X. , Megson , G. M. and Evans , D. J. 2004 . Locally twisted cubes are 4-pancyclic . Appl. Math. Lett. , 17 : 919 – 925 . (doi:10.1016/j.aml.2003.10.009)