Balanced C4-Trefoil Decomposition of Complete Multi-Graphs

Kazuhiko USHIO
Hideaki FUJIMOTO

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A    No.5    pp.1173-1180
Publication Date: 2006/05/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.5.1173
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
balanced C4-trefoil decomposition,  complete multi-graph,  

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Summary: 
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.

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