IEICE Trans - Balanced
C
4
-Bowtie Decomposition of Complete Multi-Graphs
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Balanced
C
4
-Bowtie Decomposition of Complete Multi-Graphs
Kazuhiko USHIO
Hideaki FUJIMOTO
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.
E88-A
No.
5
pp.
1148-1154
Publication Date:
2005/05/01
Online ISSN:
DOI:
10.1093/ietfec/e88-a.5.1148
Print ISSN:
0916-8508
Type of Manuscript:
Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category:
Keyword:
balanced
C
4
-bowtie decomposition
,
complete multi-graph
,
Full Text:
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Summary:
We show that the necessary and sufficient condition for the existence of a balanced
C
4
-bowtie decomposition of the complete multi-graph λ
K
n
is λ(
n
- 1)
0 (mod 16) and
n
7. Decomposition algorithms are also given.
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