Decomposition of lambda-fold complete graphs into a certain five-vertex graph
نویسندگان
چکیده
A (λKv, G)-design is a partition of the edges of λKv into subgraphs each of which is isomorphic to G. In this paper, we completely solve the case when G = G18 (G18 is notation from Bermond, Huang, Rosa and Sotteau, Ars Combin. 10 (1980), 211–254) and prove that the necessary condition λv(v− 1) ≡ 0 (mod 14) for the existence of a (λKv, G18)-design with any positive integer λ is also sufficient except for (v, λ) = (8, 1), (14, 1).
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 30 شماره
صفحات -
تاریخ انتشار 2004