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  • Bijections for Baxter families and related objects 

    Felsner, Stefan; Fusy, Éric; Noy Serrano, Marcos; Orden, David (2011-04)
    Article
    Open Access
    The Baxter number can be written as $B_n = \sum_0^n \Theta_{k,n-k-1}$. These numbers have first appeared in the enumeration of so-called Baxter permutations; $B_n$ is the number of Baxter permutations of size $n$, and ...
  • Binary labelings for plane quadrangulations and their relatives 

    Felsner, Stefan; Huemer, Clemens; Kappes, Sarah; Orden, David (2010)
    Article
    Open Access
    Motivated by the bijection between Schnyder labelings of a plane triangulation and partitions of its inner edges into three trees, we look for binary labelings for quadrangulations (whose edges can be partitioned into two ...