Near-Perfect Matchings on Cylinders Cm × Pn of Odd Order
Petrozavodsk State University, Russia
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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
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