Tata Institute of Fundamental Research

Completing Latin Squares

Student Seminar
Speaker: Mohit Garg
Organiser: Karthyek Rajhaa A M
Date: Friday, 15 Jun 2012, 15:00 to 16:30
Venue: A212

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Abstract:  Some of the oldest combinatorial objects, whose studies apparently goes back to ancient times, are the Latin squares. To obtain a Latin square, one has to fill the cells of an (n x n)- square array with the numbers 1,...,n so that every number appears exactly once in every row and in every column. Say someone started filling the cells with the numbers {1,...,n}. At some point she stops and asks us to fill in the remaining cells so that we get a Latin square. When is this possible? To find out, come to the talk.