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- Published 2014 in Adv. in Math. of Comm.

We apply combinatorial arguments to establish structural constraints on Costas arrays. We prove restrictions on when a Costas array can contain a large corner region whose entries are all 0. In particular, we prove a 2010 conjecture due to Russo, Erickson and Beard. We then constrain the vectors joining pairs of 1s in a Costas array by establishing a series of results on its number of “mirror pairs,” namely pairs of these vectors having the same length but opposite slopes.

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@article{Jedwab2014StructuralPO,
title={Structural properties of Costas arrays},
author={Jonathan Jedwab and Jane Wodlinger},
journal={Adv. in Math. of Comm.},
year={2014},
volume={8},
pages={241-256}
}