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Maximal Collections of Intersecting Arithmetic Progressions

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Let N t (k) be the maximum number of k-term arithmetic progressions of real numbers, any two of which have t points in common. We determine N 2(k) for prime k and all large k, and give upper and lower bounds for N t (k) when t ≥ 3.

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Authors and Affiliations

  1. University of South Carolina, Columbia, SC, USA

    Kevin Ford*

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  1. Kevin Ford*
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* Research supported in part by NSF grant DMS-0070618.

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Ford*, K. Maximal Collections of Intersecting Arithmetic Progressions. Combinatorica 23, 263–281 (2003). https://doi.org/10.1007/s00493-003-0021-4

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  • DOI: https://doi.org/10.1007/s00493-003-0021-4

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