| Decomposition of $\lambda K_v$ into $6$-Circuits with Two Chords |
| Received:July 27, 2007 Revised:September 07, 2007 |
| Key Words:
graph design holey graph design sharply 2-transitive group.
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| Fund Project:the National Natural Science Foundation of China (No.10671055); the Natural Science Foundation of Hebei Province (No.A2007000230); the Foundation of Hebei Normal University (No.L2007B22). |
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| Abstract: |
| In this paper, we discuss the $G$-decomposition of $\lambda K_v$ into $6$-circuits with two chords. We construct some holey $G$-designs using sharply 2-transitive group, and present the recursive structure by PBD. We also give a unified method to construct $G$-designs when the index equals the edge number of the discussed graph. Finally, the existence of $G$-$GD_\lambda(v)$ is given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.002 |
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