In this paper, we show that Qkn is a divisor graph, for n = 2, 3. For n ≥ 4, we show that Qkn is a divisor graph iff k ≥ n − 1. For folded-hypercube, we get FQn is a divisor graph when n is odd. But, if n ≥ 4 is even integer, then FQn is not a divisor graph. For n ≥ 5, we show that (FQn)k is not a divisor graph, where 2 ≤ k ≤ [n/2] − 1.
@article{bwmeta1.element.doi-10_7151_dmgt_1801,
author = {Eman A. AbuHijleh and Omar A. AbuGhneim and Hasan Al-Ezeh},
title = {Characterizing which Powers of Hypercubes and Folded Hyper- cubes Are Divisor Graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {35},
year = {2015},
pages = {301-311},
zbl = {1311.05045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1801}
}
Eman A. AbuHijleh; Omar A. AbuGhneim; Hasan Al-Ezeh. Characterizing which Powers of Hypercubes and Folded Hyper- cubes Are Divisor Graphs. Discussiones Mathematicae Graph Theory, Tome 35 (2015) pp. 301-311. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1801/
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