On the relations of various conjectures on Latin squares and straightening coefficients

@article{Huang1994OnTR,
  title={On the relations of various conjectures on Latin squares and straightening coefficients},
  author={Rosa Huang and Gian-Carlo Rota},
  journal={Discrete Mathematics},
  year={1994},
  volume={128},
  pages={225-236}
}
We discuss the relations among various combinatorial conjectures, to wit: I. A conjecture of J. Dinitz on partial Latin squares, closely related to a conjecture of N. Alon and M. Tarsi on Latin squares. II. A conjecture of the second author on the nonvanishing property of a certain straightening coefficient in the supersymmetric bracket algebra. This conjecture is motivated by the author’s program of extending invariant theory by the use of supersymmetric variables. III. A conjecture of the… CONTINUE READING
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