| 英文摘要 |
An (4,4)-Tadpole system of order v is a partition of the edge-set of the complete graph Kv such that each element of the partition induces a subgraph isomorphic to the graph (4,4)-Tadpole and the graphs of the partition are said to be the blocks. In this paper, we show that (i) a (4,4)-Tadpole system of order v exists if and only if v ≡ 0 or 1 (mod 16) and (2) any (4, 4)-Tadpole system of order u can be embedded in a (4,4)- Tadpole system of order v if and only if v = u+16. |
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