Solitaire clobber on circulant graphs
✍ Scribed by Pará, Telma; Dantas, Simone; Gravier, Sylvain
- Book ID
- 122278232
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 589 KB
- Volume
- 329
- Category
- Article
- ISSN
- 0012-365X
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## Abstract We investigate the conjecture that every circulant graph __X__ admits a __k__‐isofactorization for every __k__ dividing |__E__(__X__)|. We obtain partial results with an emphasis on small values of __k__. © 2006 Wiley Periodicals, Inc. J Combin Designs 14: 406–414, 2006
Adfim's (1967) conjecture formulates necessary and sufficient conditions for cyclic (circulant) graphs to be isomorphic. It is known that the conjecture fails if n is divisible by either 8 or by an odd square. On the other hand, it was shown in [?] that the conjecture is true for circulant graphs w