Publications

Preprints

  1. Clemens Heuberger, Sarah J. Selkirk, and Stephan Wagner, The distribution of the maximum protection number in simply generated trees. \toappearinCombin. Probab. Comput., 2023.


Published

  1. Andrei Asinowski, Cyril Banderier, and Sarah J. Selkirk, From Kreweras to Gessel: A walk through patterns in the quarter plane, Sém. Lothar. Combin., vol. 89B. 2023.

  2. Clemens Heuberger, Sarah J. Selkirk, and Stephan Wagner, Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo $k$, Electron. J. Combin., vol. 30, no. 1, pp. Paper No. 1.26, 2023.

  3. Andrei Asinowski, Benjamin Hackl, and Sarah J. Selkirk, Down-step statistics in generalized Dyck paths, Discrete Math. Theor. Comput. Sci., vol. 24, no. 1, 2022.

  4. Helmut Prodinger, Sarah J. Selkirk, and Stephan Wagner, On two subclasses of Motzkin paths and their relation to ternary trees, in Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, C. Schneider and V. Pillwein, Eds. Springer, 2020, pp. 297–316.

  5. Helmut Prodinger and Sarah J. Selkirk, Sums of squares of Tetranacci numbers: A generating function approach, Fibonacci Quarterly, vol. 57, no. 4, pp. 313–317, 2019.


Academic theses

  1. Sarah J. Selkirk, Statistics in Lattice paths and tree-like structures, PhD thesis, University of Klagenfurt, 2023.

  2. Sarah J. Selkirk, On a generalisation of $k$-Dyck paths, Master’s thesis, Stellenbosch University, 2019.