Title

Infinite Latin squares: neighbor-balance and orthogonality

Author, Researcher, or Creator

M. A. OllisFollow

Affiliation of Author, Researcher, or Creator

Marlboro Institute of Liberal Arts and Interdisciplinary Studies

Department

Marlboro Institute for Liberal Arts and Interdisciplinary Studies

Author(s)

A. B. Evans, G. N. Martin, K. Minden and M. A. Ollis

Resource Type

Article

Publication, Publisher or Distributor

Electronic Journal of Combinatorics

Publication Date

9-1-2020

Related Information

https://www.combinatorics.org/ojs/index.php/eljc/article/view/v27i3p52

Brief Description

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.

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