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Matchings of quadratic size extend to lo...
Dvořák, Tomáš...
Matchings of quadratic size extend to long cycles in hypercubes by Dvořák, Tomáš ( Author )
N.A
20-11-2015
Ruskey and Savage in 1993 asked whether every matching in a hypercube can be extended to a Hamiltonian cycle. A positive answer is known for perfect matchings, but the general case has been resolved only for matchings of linear size. In this paper we show that there is a quadratic function q(n) such that every matching in the n-dimensional hypercube of size at most q(n) may be extended to a cycle which covers at least 34 of the vertices.
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English
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MYR 0.01
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https://arxiv.org/abs/1511.06568
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