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- W2935854523 abstract "For all odd values of m, we prove that the sequence of the numbers of near-perfect matchings on Cm x P2n+1 cylinder with a vacancy on the boundary obeys the same recurrence relation as the sequence of the numbers of perfect matchings on Cm x P2n. Further more, we prove that for all odd values of m denominator of the generating function for the total number of the near-perfect matchings on Cm x P2n+1 graph is always the square of denominator of generating function for the sequence of the numbers of perfect matchings on Cm x P2n graph, as recently conjectured by Perepechko." @default.
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- W2935854523 date "2019-01-01" @default.
- W2935854523 modified "2023-10-14" @default.
- W2935854523 title "The proof of the Perepechko’s conjecture concerning near-perfect matchings on Cm x Pn cylinders of odd order" @default.
- W2935854523 doi "https://doi.org/10.2298/aadm181016002d" @default.
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