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  1. No Access

    Article

    Partial Rank Symmetry of Distributive Lattices for Fences

    Associated with any composition \(\beta =(a,b,\ldots )\) β = ...

    Sergi Elizalde, Bruce E. Sagan in Annals of Combinatorics (2023)

  2. No Access

    Article

    The Degree of Symmetry of Lattice Paths

    The degree of symmetry of a combinatorial object, such as a lattice path, is a measure of how symmetric the object is. It typically ranges from zero, if the object is completely asymmetric, to its size, if it ...

    Sergi Elizalde in Annals of Combinatorics (2021)

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    Chapter and Conference Paper

    Enumerating Descents on Quasi-Stirling Permutations and Plane Trees

    Gessel and Stanley introduced Stirling permutations to give a combinatorial interpretation of certain polynomials related to Stirling numbers. A natural extension of these permutations are quasi-Stirling permu...

    Sergi Elizalde in Extended Abstracts EuroComb 2021 (2021)

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    Article

    Schur-positive sets of permutations via products and grid classes

    Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur-positive is a long-standing problem in algebraic combinatorics. In this paper, we present a general method to...

    Sergi Elizalde, Yuval Roichman in Journal of Algebraic Combinatorics (2017)

  5. No Access

    Article

    A Generating Tree Approach to k-Nonnesting Partitions and Permutations

    We describe a generating tree approach to the enumeration and exhaustive generation of k-nonnesting set partitions and permutations. Unlike previous work in the literature which uses the connections of these obje...

    Sophie Burrill, Sergi Elizalde, Marni Mishna, Lily Yen in Annals of Combinatorics (2016)

  6. No Access

    Chapter

    A survey of consecutive patterns in permutations

    A consecutive pattern in a permutation π is another permutation σ ...

    Sergi Elizalde in Recent Trends in Combinatorics (2016)

  7. Article

    Arc permutations

    Arc permutations and unimodal permutations were introduced in the study of triangulations and characters. This paper studies combinatorial properties and structures on these permutations. First, both sets are ...

    Sergi Elizalde, Yuval Roichman in Journal of Algebraic Combinatorics (2014)

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    Article

    Restricted Simsun Permutations

    A permutation is simsun if for all k, the subword of the one-line notation consisting of the k smallest entries does not have three consecutive decreasing elements. Simsun permutations were introduced by Simion a...

    Emeric Deutsch, Sergi Elizalde in Annals of Combinatorics (2012)

  9. No Access

    Article

    The X-Class and Almost-Increasing Permutations

    In this paper we give a bijection between the class of permutations that can be drawn on an X-shape and a certain set of permutations that appears in Knuth [4] in connection to sorting algorithms. A natural gener...

    Sergi Elizalde in Annals of Combinatorics (2011)

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    Article

    Generating Trees for Permutations Avoiding Generalized Patterns

    We construct generating trees with one, two, and three labels for some classes of permutations avoiding generalized patterns of lengths 3 and 4. These trees are built by adding at each level an entry to the ri...

    Sergi Elizalde in Annals of Combinatorics (2007)

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    Article

    A Simple and Unusual Bijection for Dyck Paths and its Consequences

    In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of patternavoiding permutations into...

    Sergi Elizalde, Emeric Deutsch in Annals of Combinatorics (2003)