Nondirected lattice paths on different lattices
نویسنده
چکیده
We study excursions with jumps to nearest neighbors in different lattices (hexagonal, triangular, kagome, Manhattan lattices), paths in a strip, etc. We show that some families are algebraic, D-finite, and give some nice closed form formulas.
منابع مشابه
1 9 N ov 2 00 4 Lattices of lattice paths ∗
We consider posets of lattice paths (endowed with a natural order) and begin the study of such structures. We give an algebraic condition to recognize which ones of these posets are lattices. Next we study the class of Dyck lattices (i.e., lattices of Dyck paths) and give a recursive construction for them. The last section is devoted to the presentation of a couple of open problems.
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