Some existence problems regarding partial Latin squares

2014/03/18 by Masood Aryapoor, Aryapoor, Masood
Computer Science · Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph Labeling and Dimension Problems #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1403.4642

openalex publication_date 2014/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Latin squares are interesting combinatorial objects with many applications. When working with Latin squares, one is sometimes led to deal with partial Latin squares, a generalization of Latin squares. One of the problems regarding partial Latin square and with applications to Latin squares is whether a partial Latin square with a given set of conditions exists. The goal of this article is to introduce some problems of this kind and answer some existence questions regarding partial Latin squares

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