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- W1969541611 abstract "The number conn counts matchings X on {1,2,…,2n}, which are partitions into n two-element blocks, such that the crossing graph of X is connected. Similarly, cron counts matchings whose crossing graph has no isolated vertex. (If it has no edge, Catalan numbers arise.) We apply generating functions techniques and prove, using a more generally applicable criterion, that the sequences (conn) and (cron) are not P-recursive. On the other hand, we show that the residues of conn and cron modulo any fixed power of 2 can be determined P-recursively. We consider also the numbers scon of symmetric connected matchings. Unfortunately, their generating function satisfies a complicated differential equation which we cannot handle." @default.
- W1969541611 created "2016-06-24" @default.
- W1969541611 creator A5005859787 @default.
- W1969541611 date "2003-02-01" @default.
- W1969541611 modified "2023-10-17" @default.
- W1969541611 title "Non-P-recursiveness of numbers of matchings or linear chord diagrams with many crossings" @default.
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- W1969541611 doi "https://doi.org/10.1016/s0196-8858(02)00528-6" @default.
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