Enumerating Lattice Paths Touching or Crossing the Diagonal at a Given Number of Lattice Points
نویسندگان
چکیده
منابع مشابه
Enumerating Lattice Paths Touching or Crossing the Diagonal at a Given Number of Lattice Points
We give bijective proofs that, when combined with one of the combinatorial proofs of the general ballot formula, constitute a combinatorial argument yielding the number of lattice paths from (0, 0) to (n, rn) that touch or cross the diagonal y = rx at exactly k lattice points. This enumeration partitions all lattice paths from (0, 0) to (n, rn). While the resulting formula can be derived using ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2012
ISSN: 1077-8926
DOI: 10.37236/2477