Convex lattice polygonal lines with a constrained number of vertices

Julien Bureaux; Nathanaël Enriquez

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arXiv · 1606.05062

Convex lattice polygonal lines with a constrained number of vertices

Julien Bureaux·Nathanaël Enriquez

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Abstract

A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a limit shape when the number of vertices is constrained.

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Julien Bureaux, Nathanaël Enriquez. 2016-06-16. Convex lattice polygonal lines with a constrained number of vertices. https://arxiv.org/abs/1606.05062

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