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- @inbook{encylatt,
- author = {Christian Krattenthaler},
- editor = {Mikl\'{o}s B\'{o}na},
- title = {Lattice path enumeration},
- booktitle = {Handbook of Enumerative Combinatorics},
- year = {2015},
- publisher = {CRC Press},
- pages = {589--678},
- url = {https://www.mat.univie.ac.at/~kratt/artikel/encylatt.pdf}
- }
- @online{dpapp,
- author = {Ira M.\ Gessel and X.\ G.\ Viennot},
- title = {Determinants, paths, and plane partitions},
- year = {1989},
- note = {Preprint},
- url = {http://people.brandeis.edu/~gessel/homepage/papers/pp.pdf}
- }
- @article{lindstrom,
- author = {Bernt Lindstr\"{o}m},
- title = {On the vector representations of induced matroids},
- journal = {Bulletin of the London Mathematical Society},
- volume = {5},
- pages = {85-90},
- doi = {10.1112/blms/5.1.85},
- year = {1973}
- }
- @article{shapiro1992,
- author = {Louis Shapiro},
- title = {Random walks with absorbing points},
- journal = {Discrete Applied Mathematics},
- volume = {39},
- pages = {57--67},
- year = {1992},
- issn = {0166-218X},
- doi = {10.1016/0166-218X(92)90114-P}
- }
- @inbook{zhou2002,
- author = {Chizhong Zhou},
- title = {On the Shapiro problem of random walks with absorbing points},
- year = {2002},
- publisher = {Nova Science Publishers, Inc.},
- booktitle = {Analysis, Combinatorics and Computing},
- pages = {465--472},
- numpages = {8},
- url = {https://dl.acm.org/doi/abs/10.5555/881738.881772}
- }
- @book{stanley2012,
- author = {Richard P.\ Stanley},
- title = {Enumerative Combinatorics},
- edition = {2},
- volume = {1},
- year = {2012},
- series = {Cambridge Studies in Advanced Mathematics},
- doi = {10.1017/CBO9781139058520},
- publisher = {Cambridge University Press}
- }
- @online{A000108,
- author = {N.\ J.\ A.\ Sloane},
- title = {A000108},
- url = {https://oeis.org/A000108},
- urldate = {2020-06-02}
- }
- @online{A284016,
- author = {Ralf Steiner},
- title = {A284016},
- url = {https://oeis.org/A284016},
- urldate = {2020-06-02}
- }
- @online{A024485,
- author = {Clark Kimberling},
- title = {A284016},
- url = {https://oeis.org/A024485},
- urldate = {2020-06-02}
- }
- @article{whitworth1878,
- author = {W.\ A.\ Whitworth},
- title = {Arrangements of $m$ things of one sort and $n$ things of another sort, under certain conditions of priority},
- journal = {Messenger of Mathematics},
- volume = {8},
- pages = {105--114},
- year = {1878},
- url = {https://gdz.sub.uni-goettingen.de/id/PPN599484047_0008}
- }
- @article{humphreys2010,
- author = {Katherine Humphreys},
- title = {A history and a survey of lattice path enumeration},
- journal = {Journal of Statistical Planning and Inference},
- volume = {140},
- pages = {2237--2254},
- year = {2010},
- note = {Lattice Path Combinatorics and Applications},
- issn = {0378-3758},
- doi = {10.1016/j.jspi.2010.01.020}
- }
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