Geodesic
The Spectrum Problem for the Connected Cubic Graphs of Order 10
Discussiones Mathematicae. Graph Theory, Tome 41 (2021) no. 4, pp. 963-980

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We show that if G is a connected cubic graph of order 10, then there exists a G-decomposition of Kv if and only if v ≡ 1 or 10 (mod 15) except when v = 10 and G is one of 5 specific graphs.
Keywords: spectrum problem, graph decomposition, cubic graphs 
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Adams, Peter; El-Zanati, Saad I.; Odabaşi, Uğur; Wannasit, Wannasiri. The Spectrum Problem for the Connected Cubic Graphs of Order 10. Discussiones Mathematicae. Graph Theory, Tome 41 (2021) no. 4, pp. 963-980. http://geodesic.mathdoc.fr/item/DMGT_2021_41_4_a6/