Counting Colored Tilings on Grids and Graphs

JL Ramírez, D Villamizar - arXiv preprint arXiv:2406.16415, 2024 - arxiv.org
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 …

Enumeration of Colored Tilings on Graphs via Generating Functions

JL Ramírez, D Villamizar - arXiv preprint arXiv:2501.06008, 2025 - arxiv.org
In this paper, we study the problem of partitioning a graph into connected and colored
components called blocks. Using bivariate generating functions and combinatorial …

[PDF][PDF] Counting clusters in a coloring grid

R Mansour - Discrete Math. Lett, 2021 - dmlett.com
Counting clusters in a coloring grid 1. Introduction Page 1 Discrete Mathematics Letters
www.dmlett.com Discrete Math. Lett. 5 (2021) 20–23 DOI: 10.47443/dml.2021.0002 …