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[Keyword] complete multi-graph(2hit)
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Balanced C4-Trefoil Decomposition of Complete Multi-Graphs
Kazuhiko USHIO Hideaki FUJIMOTO
- PAPER
- Vol:
- E89-A No:5
- Page(s):
- 1173-1180
We show that the necessary and sufficient condition for the existence of a balanced C4-trefoil decomposition of the complete multi-graph λKn is λ(n-1) ≡ 0 (mod 24) and n ≤ 10. Decomposition algorithms are also given.
Balanced C4-Bowtie Decomposition of Complete Multi-Graphs
Kazuhiko USHIO Hideaki FUJIMOTO
- PAPER
- Vol:
- E88-A No:5
- Page(s):
- 1148-1154
We show that the necessary and sufficient condition for the existence of a balanced C4-bowtie decomposition of the complete multi-graph λKn is λ(n - 1) 0 (mod 16) and n 7. Decomposition algorithms are also given.
