383
Views
0
CrossRef citations to date
0
Altmetric
Original Article

Cycle frames and the Oberwolfach problemFootnote

&
Pages 83-95 | Received 31 Jul 2017, Accepted 14 Jun 2018, Published online: 10 Jun 2020

References

  • Imrich W. Klavzar S. Product Graphs: Structure and Recognition 2000 John Wiley and Sons, Inc
  • Stinson D.R. Frames for Kirkman triple systems Discrete Math. 65 3 1987 289 300
  • Wang J. Cube factorizations of complete multipartite graphs Ars Combin. 99 2011 243 256
  • Cao H. Niu M. Tang C. On the existence of cycle frames and almost resolvable cycle systems Discrete Math. 311 2011 2220 2232
  • Tiemeyer M.A. C4-frames of M(b,n) J. Combin. Math. Combin. Comput. 80 2012 333 350
  • Niu M. Cao H. More results on cycle frames and almost resolvable cycle systems Discrete Math. 312 2012 3392 3405
  • Chitra V. Shanmuga Vadivu A. Muthusamy A. C4p-frame of complete multipartite multigraphs Aequationes Math. 85 2013 563 579
  • Muthusamy A. Shanmuga Vadivu A. Cycle frames of complete multipartite multigraphs-III J. Combin. Des. 22 2014 473 487
  • Buratti M. Cao H. Dai D. Traetta T. A complete solution to the existence of (k,λ)- cycle frames of type gu J. Combin. Des. 2016 10.1002/jcd21523
  • Bryant D. Rodger C.A. Cycle decompositions Colbourn C.J. Dinitz J.H. The CRC Handbook of Combinatorial Designs second ed. 2007 CRC Press Boca Raton 373 382
  • Cao H. Mi X. On the Oberwolfach problem OP(3a,sb) Util. Math. 85 2011 309 325
  • Mi X. Cao H. Some results on the Oberwolfach problem OP2(3a,sb) J. Nat. Sci. Nanjing Norm. Univ. 11 1 Special Issue: Special Issue: International Conference on Discrete Mathematics 2009 11 16
  • Mi X. Cao H. Some results on the Oberwolfach problem OP2(3a,sb) J. Nanjing Norm. Univ. Nat. Sci. Ed. 32 2 2009 25 30 (in Chinese)
  • Traetta T. A complete solution to the two-table Oberwolfach problems J. Combin. Theory Ser. A 120 2013 984 997
  • Laskar R. Decomposition of some composite graphs into hamilton cycles Proc. 5th Hungarian Coll. Keszthely 1978 North Holland 705 716
  • Ge G. Miao Y. PBD’s, frames and resolvability Colbourn C.J. Dinitz J.H. CRC Handbook of Combinatorial Designs 1996 CRC Press Boca Raton, Florida
  • Rosa A. Two-factorizations of the complete graph Rend. Sem. Mat. Messina Ser. II 9 2003 201 210
  • Deza A. Franek F. Hua W. Meszka M. Rosa A. Solutions to the Oberwolfach problem for orders 18 to 40 J. Combin. Math. Combin. Comput. 74 2010 95 102
  • Liu J. Lick D.R. On λ-fold equipartite Oberwolfach problem with uniform table sizes Ann. Comb. 7 2003 315 323
  • Colbourn C.J. Dinitz J.H. Handbook of Combinatorial Designs second ed. 2007 Chapman & Hall/CRC
  • Furino S.C. Miao Y. Yin J.X. Frames and Resolvable Designs: Uses, Constructions, and Existence 1996 CRC Press Boca Raton FL