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arXiv · 1907.06951

on removal of perfect matching from folded hypercubes

S. A. Mane
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Abstract

The hypercube Qn of dimension n is one of the most versatile and powerful interconnection networks. The n-dimensional folded cube denoted as FQn, a variation of the hypercube possesses some embeddable properties that the hypercube does not possess. Dong and Wang(In Theor. Comput. Sci.771(2019)93-98) conjectured that "A subset Em of edges of FQn is a perfect matching if and only if FQn - Em is isomorphic to Qn". In this paper, we disprove this conjecture by providing some perfect matchings removal of which from FQn do not give a graph isomorphic to Qn.

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S. A. Mane. 2019-07-16. on removal of perfect matching from folded hypercubes. https://arxiv.org/abs/1907.06951

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