Name
Abstract | ||
|---|---|---|
We enumerate bijectively the family of involutive Baxter permutations according to various parameters; in particular we obtain an elementary proof that the number of involutive Baxter permutations of size 2n with no fixed points is ${3\cdot2^{n-1}\over (n+1)(n+2)} \big({2n \atop n}\big)$, a formula originally discovered by M. Bousquet-Mélou using generating functions. The same coefficient also enumerates planar maps with n edges, endowed with an acyclic orientation having a unique source, and such that the source and sinks are all incident to the outer face. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.3233/FI-2012-694 | Fundam. Inform. |
Keywords | Field | DocType |
bijections,generating function,fixed point | Discrete mathematics,Generating function,Combinatorics,Bijection,Permutation,Elementary proof,Bijection, injection and surjection,Planar,Fixed point,Mathematics,Acyclic orientation | Journal |
Volume | Issue | ISSN |
117 | 1-4 | 0169-2968 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
1 | ||