Geodesic
Characterizing which Powers of Hypercubes and Folded Hypercubes Are Divisor Graphs
Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 2, pp. 301-311

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In this paper, we show that Q_n^k is a divisor graph, for n = 2, 3. For n ≥ 4, we show that Q_n^k is a divisor graph iff k ≥ n − 1. For folded-hypercube, we get FQ_n is a divisor graph when n is odd. But, if n ≥ 4 is even integer, then FQ_n is not a divisor graph. For n ≥ 5, we show that (FQ_n)^k is not a divisor graph, where 2 ≤ k ≤ [n/2] − 1.
Keywords: hypercube, folded-hypercube, divisor graph, power of a graph 
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AbuHijleh, Eman A.; AbuGhneim, Omar A.; Al-Ezeh, Hasan. Characterizing which Powers of Hypercubes and Folded Hypercubes Are Divisor Graphs. Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 2, pp. 301-311. http://geodesic.mathdoc.fr/item/DMGT_2015_35_2_a8/