Large sets of cycle systems on nine points
نویسندگان
چکیده
An m-cycle system of order v, denoted by mCS(v), is a decomposition of the complete graph Kv into m-cycles. We discuss two types of large sets of mCS(v) and construct examples of both types for (m, v) = (4, 9) and one type for (m, v) = (6, 9). These are the first large sets of cycle systems constructed with m > 3, apart from the Hamiltonian cycle decompositions given in [2]. AMS classification: 05B30.
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تاریخ انتشار 2004