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- W1539776987 abstract "Bouttier, Di Francesco and Guitter introduced a method for solving certain classes of algebraic recurrence relations arising the context of maps and embedded trees. The aim of this note is to apply their method, consisting of a suitable ansatz and (computer assisted) guessing, to three problems, all related to the enumeration of lattice paths. First, we derive the generating function of a family of embedded binary trees, unifying some earlier results in the literature. Second, we show that several enumeration problems concerning so-called simple families of lattice paths can be solved without using the kernel method. Third, we use their method to (re-)derive the length generating function of three vicious walkers and osculating walkers." @default.
- W1539776987 created "2016-06-24" @default.
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- W1539776987 date "2012-01-01" @default.
- W1539776987 modified "2023-09-26" @default.
- W1539776987 title "Generating Functions of Embedded Trees and Lattice Paths" @default.
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- W1539776987 doi "https://doi.org/10.3233/fi-2012-697" @default.
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