Infinite Latin squares: neighbor-balance and orthogonality
Affiliation of Author, Researcher, or Creator
Marlboro Institute of Liberal Arts and Interdisciplinary Studies
Marlboro Institute for Liberal Arts and Interdisciplinary Studies
A. B. Evans, G. N. Martin, K. Minden and M. A. Ollis
Publication, Publisher or Distributor
Electronic Journal of Combinatorics
A mathematics research paper in the subfield of combinatorics, more specifically infinite design theory. The paper develops a spatially coherent generalization of latin squares of finite order to arbitrary infinite orders. This allows the investigation of neighbor-balance properties in the infinite setting. It is shown that squares with strong neighbour-balance properties exist at every infinite order using techniques from set theory.