Ascent-descent Young diagrams and pattern avoidance in alternating permutations (Q405289)

Summary: We investigate pattern avoidance in alternating permutations and an alternating analogue of Young diagrams. In particular, using an extension of Babson and West's notion of shape-Wilf equivalence described in our recent paper [\textit{N. Gowravaram} and \textit{R. Jagadeesan}, ibid. 20, No. 4, Research Paper P17, 28 p. (2013; Zbl 1300.05319)], we generalize results of Backelin, West, and Xin and Ouchterlony to alternating permutations. Unlike Ouchterlony and Bóna's bijections, our bijections are not the restrictions of Backelin, West, and Xin's bijections to alternating permutations. This paper is the second of a two-paper series. The first paper in the series is [loc. cit.].