Directed lattice paths avoiding periodic subset of points on "time"-axis

We compute generating functions of the set of directed lattice paths starting from the origin and avoiding a periodic set of even point on OX = "time"-axis. As an application we prove a combinatorial identity proposed by P. Hajnal and G.V. Nagy.

Publication Details

Journal
ArXiv.org
Published
2025-10-13
Primary Topic
Quasicrystal Structures and Properties
Type
article
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article

Directed lattice paths avoiding periodic subset of points on "time"-axis

ArXiv.org
Quasicrystal Structures and Properties
article

Directed lattice paths avoiding periodic subset of points on "time"-axis

article en

Abstract

We compute generating functions of the set of directed lattice paths starting from the origin and avoiding a periodic set of even point on OX = "time"-axis. As an application we prove a combinatorial identity proposed by P. Hajnal and G.V. Nagy.

ArXiv.org
Openalex Percentile: Top 58%
Quasicrystal Structures and Properties
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Directed lattice paths avoiding periodic subset of points on "time"-axis · ArXiv.org (2025) | TGRS Research Map | TGRS