Near-Perfect Matchings on Cylinders Cm × Pn of Odd Order
Petrozavodsk State University, Russia
* e-mail: email@example.com
Published online: 14 February 2018
A close relationship was established between the number of perfect and nearperfect matchings on cylinders Cm×Pn. Generating functions are obtained for the number of near-perfect matchings in these graphs for fixed odd m ≤ 13. A conjecture is put forth on the properties of the denominators of generating functions for arbitrary odd m.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).