On No-Three-In-Line Problem on m-Dimensional Torus
Let Z be the set of integers and Zl be the set of integers modulo l. A set L⊆T=Zl1×Zl2Zlm is called a line if there exist a, b∈ T such that L={a+tb∈T:t∈Z}. A set X⊆ T is called a no-three-in-line set if | X∩ L| ≤ 2 for all the lines L in T. The maximum size of a no-three-in-line set is denoted by τ(...
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Main Authors: | , |
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Format: | Article |
Published: |
Springer Verlag
2018
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Online Access: | http://eprints.um.edu.my/21579/ https://doi.org/10.1007/s00373-018-1878-8 |
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Institution: | Universiti Malaya |