Geodesic
On r-extendability of the hypercube Qn
Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 249-255.

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A graph having a perfect matching is called r-extendable if every matching of size r can be extended to a perfect matching. It is proved that in the hypercube Qn, a matching S with |S|≤n can be extended to a perfect matching if and only if it does not saturate the neighbourhood of any unsaturated vertex. In particular, Qn is r-extendable for every r with 1≤r≤n−1.
DOI : 10.21136/MB.1997.126151
Classification : 05C70
Mots-clés : hypercube; perfect matching; 1-factor; r-extendability 
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Limaye, Nirmala B.; Sarvate, Dinesh G. On $r$-extendability of the hypercube $Q\sb n$. Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 249-255. doi : 10.21136/MB.1997.126151. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.126151/

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