paper

Counting Colored Tilings on Grids and Graphs

arXiv:2406.16415 · doi:10.4204/EPTCS.403.33

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.

In Proceedings GASCom 2024, arXiv:2406.14588