Generalized ballot sequences are ascent sequences

Dukes, Mark (2016) Generalized ballot sequences are ascent sequences. Australasian Journal of Combinatorics, 64 (1). pp. 61-63. ISSN 1034-4942

[img]
Preview
Text (Dukes-AJOC-2015-Generalized-ballot-sequences-are-ascent)
Dukes_AJOC_2015_Generalized_ballot_sequences_are_ascent.pdf
Accepted Author Manuscript

Download (181kB)| Preview

    Abstract

    Ascent sequences were introduced by the author (in conjunction with others) to encode a class of permutations that avoid a single length- three bivincular pattern, and were the central object through which other combinatorial correspondences were discovered. In this note we prove the non-trivial fact that generalized ballot sequences are ascent sequences.