English

Counting Colored Tilings on Grids and Graphs

Discrete Mathematics 2024-06-25 v1 Combinatorics

Abstract

In this paper, we explore some generalizations of a counting problem related to tilings in grids of size 2xn, which was originally posed as a question on Mathematics Stack Exchange (Question 3972905). In particular, we consider this problem for the product of two graphs G and P(n), where P(n) is the path graph of n vertices. We give explicit bivariate generating functions for some specific cases.

Keywords

Cite

@article{arxiv.2406.16415,
  title  = {Counting Colored Tilings on Grids and Graphs},
  author = {José L. Ramírez and Diego Villamizar},
  journal= {arXiv preprint arXiv:2406.16415},
  year   = {2024}
}

Comments

In Proceedings GASCom 2024, arXiv:2406.14588

R2 v1 2026-06-28T17:16:55.601Z