# A census of critical sets in the Latin squares of order at most six

@article{Adams2003ACO, title={A census of critical sets in the Latin squares of order at most six}, author={Peter Adams and Richard Bean and Abdollah Khodkar}, journal={Ars Comb.}, year={2003}, volume={68} }

- Published in Ars Comb. 2003

A critical set in a Latin square of order n is a set of entries from the square which can be embedded in precisely one Latin square of order n, Such that if any element of the critical set. is deleted, the remaining set can be embedded, in more than one Latin square of order n.. In this paper we find all the critical sets of different sizes in the Latin squares of order at most six. We count the number of main and isotopy classes of these critical sets and classify critical sets from the main… CONTINUE READING

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## Enumerating partial Latin rectangles

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## Classifying partial Latin rectangles

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## A note on the completion of partial latin squares

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