참고문헌
-
B. Alspach and H. Gavlas, Cycle decompositions of
$K_n$ and$K_n-I$ . J. Combin. Theory Ser. B 81(2001), 77-99. https://doi.org/10.1006/jctb.2000.1996 - E. Billington and D. G. Homan, Decomposition of complete tripartite graphs into gre-garious 4-cycles. Discrete Math. 261(2003), 87-111. https://doi.org/10.1016/S0012-365X(02)00462-4
- E. Billington and D. G. Homan, Equipartite and almost-equipartite gregarious 4-cycle systems. Discrete Math. 308(2008), 696-714. https://doi.org/10.1016/j.disc.2007.07.056
- E. Billington, D. G. Homan and C. A. Rodger, Resolvable gregarious cycle decompo-sitions of complete equipartite graphs. Discrete Math. 308(2008), 2844-2853. https://doi.org/10.1016/j.disc.2006.06.047
- E. Billington, B. Smith and D. G. Homan, Equipartite gregarious 6- and 8-cycle systems Discrete Math. 307(2007), 1659-1667. https://doi.org/10.1016/j.disc.2006.09.016
- N. J. Cavenagh and E. J. Billington, Decompositions of complete multipartite graphs into cycles of even length. Graphs and Combinatorics 16(2000), 49-65. https://doi.org/10.1007/s003730050003
- J. R. Cho, A note on decomposition of complete equipartite graphs into gregarious 6-cycles. Bull. Korean Math. Soc. 44(2007), 709-719. https://doi.org/10.4134/BKMS.2007.44.4.709
- J. R. Cho, M. J. Ferrara, R. J. Gould and J. R. Schmitt, A difference set method for circular decompositions of complete mutipartite graphs into gregarious 4-cycles. Preprint.
- J. R. Cho and R. J. Gould, Decompositions of complete multipartite graphs into gregarious 6-cycles using complete differences. J. Korean Math. Soc. 45(2008), 1623-1634. https://doi.org/10.4134/JKMS.2008.45.6.1623
-
J. R. Cho and S. K. Kim, Decompositions of
$K_{km+1(2t)}$ into Gregarious m-cycles using Difference Sets. Preprint. -
M. Sajna, On decomposiing
$K_n-I$ into cycles of a fixed odd length. Descrete Math. 244(2002), 435-444. https://doi.org/10.1016/S0012-365X(01)00099-1 - M. Sajna, Cycle decompositions III: complete graphs and fixed length cycles. J. Combin. Designs 10(2002), 27-78. https://doi.org/10.1002/jcd.1027
- Benjamin R. Smith, Some gregarious cycle decompositions of complete equipartite graph. E. J. of Combinatorics 16(1) (2009), R135.