Abstract
In this article the spectrum of support sizes of a completely decomposable TS (v,4) for any positive integer v≡1,3 (mod 6) is determined.
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Colbourn, C. J., Lindner, C. C., Support sizes of triple systems, J. Combin. Theory Ser. A, 1992, 61: 193–210.
Faro Giovanni Lo, Shen Hao, Support size of indecomposable threefold triple systems, JCMCC, 2001, 36: 3–29.
Rosa, A., Repeated triples in indecomposable twofold triple systems, Discrete Math., 1987, 65: 261–276.
Chang Yanxun, Faro Giovanni Lo, Shen Hao, Support sizes completely decomposable triple systems, Journal of Discrete Mathematical Sciences and Cryptology, 2001, 4 (2–3): 177–188.
Abrham, J., Kotzig, A., Skolem sequences and additive permutations, Discrete Math., 1981, 37: 143–146.
Baker, C., Extended Skolem sequences, J. Combin. Des., 1995, 3: 363–379.
Lu Jiaxi, On large sets of disjoint Steiner triple systems, VI, J. Combin. Theory Ser. A, 1984, 37: 189–192.
Foody, W. M., Hedayat, A., On theory and application of BIB designs with repeated blocks, Ann. Statist., 1977, 5: 932–945. Corrigendum: Ann. Statist., 1979, 7: 925.
Khosrovshahi, G. B., Mahmoodian, E. S., On BIB designs with various support sizes for v=9 and k=3, Comm. Statist. Simulation Comput., 1988, 17, 765–770.
Lindner, C. C., Rosa, A., Steiner triple systems having a prescribed number of triples in common, Canad. J. Math., 1975, 27(5): 1166–1175. Corrigendum: Canad. J. Math., 1978, 30: 896.
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Supported by the National Natural Science Foundation of China (10071002).
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Cai, M., Chang, Y. Support sizes of completely decomposable TS(v,4). Appl. Math. Chin. Univ. 17, 479–489 (2002). https://doi.org/10.1007/s11766-996-0014-3
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DOI: https://doi.org/10.1007/s11766-996-0014-3