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On balanced claw designs of complete multi-partite graphs |
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| Authors: | Kazuhiko Ushio |
| Institution: | Department of Mechanical Engineering, Niihama Technical College, Niihama, Ehime 792, Japan |
| Abstract: | In this paper, it is shown that a necessary and sufficient condition for the existence of a balanced claw design BCD(m, n, c, λ) of a complete m-partite graph λKm(n, n,…,n) is λ(m - 1)n ≡ 0 (mod 2c) and (m - 1)n ? c. |
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