Structural properties of Costas arrays
نویسندگان
چکیده
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.
منابع مشابه
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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 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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ورودعنوان ژورنال:
- Adv. in Math. of Comm.
دوره 8 شماره
صفحات -
تاریخ انتشار 2014