@article{30029bb83ea343c9a60b7943a0aae2fe,
title = "Improved coverings of a square with six and eight equal circles",
abstract = "In a recent article, Tarnai and G{\'a}sp{\'a}r used computer simulations to find thin coverings of a square with up to ten equal circles. We will give improved coverings with six and eight circles and a new, thin covering with eleven circles, found by the use of simulated annealing. Furthermore, we present a combinatorial method for constructing lower bounds for the optimal covering radius.",
author = "J.B.M. Melissen and P.C. Schuur",
year = "1997",
doi = "10.37236/1256",
language = "English",
volume = "3",
journal = "The Electronic journal of combinatorics",
issn = "1077-8926",
publisher = "Electronic Journal of Combinatorics",
number = "1",
}