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Decomposition of a complete multigraph into simple paths: nonbalanced handcuffed designs. (English) Zbl 0511.05024

MSC:
05B30 Other designs, configurations
05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C38 Paths and cycles
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[1] Berge, C, Graphs and hypergraphs, (1973), North-Holland Amsterdam · Zbl 0483.05029
[2] Bermond, J.C; Sotteau, D, Graph decompositions and G-designs, (), 53-72 · Zbl 0331.05021
[3] Dudeney, H.E, Amusements in mathematics, (1917), Nelson Edinburgh, reprinted by Dover, New York, 1958
[4] Hell, P; Rosa, A, Graph decomposition, handcuffed prisoners and balanced p-designs, Discrete math., 2, 229-252, (1972) · Zbl 0251.05015
[5] \scC. Huang, “On Handcuffed Designs,” preprint.
[6] Hung, S.H.Y; Mendelsohn, N.S, Handcuffed designs, Aequationes math., 11, 256-266, (1974) · Zbl 0296.05011
[7] Hung, S.H.Y; Mendelsohn, N.S, Handcuffed designs, Discrete math., 18, 23-33, (1977) · Zbl 0354.05016
[8] Lawless, J.F, On the construction of hand cuffed designs, J. combin. theory ser. A, 6, 76-86, (1974) · Zbl 0275.05009
[9] Lawless, J.F, Further results concerning the existence of handcuffed designs, Aequationes math., 11, 97-106, (1974) · Zbl 0291.05010
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