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In a latin square of order n, a near transversal is a collection of n −1 cells which intersects each row, column, and symbol class at most once. A longstanding conjecture… Click to show full abstract
In a latin square of order n, a near transversal is a collection of n −1 cells which intersects each row, column, and symbol class at most once. A longstanding conjecture of Brualdi, Ryser, and Stein asserts that every latin square possesses a near transversal. We show that this conjecture is true for every latin square that is main class equivalent to the Cayley table of a finite group.
Keywords:
group;
latin squares;
based latin;
latin square;
group based;
squares possess
Journal Title: Journal of Combinatorial Designs
Year Published: 2020
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Journal Title: Journal of Combinatorial Designs
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!