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On the interior lattice points of convex lattice 11-gon

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Abstract

A lattice point in the plane is a point with integer coordinates. A lattice polygon K is a polygon whose vertices are lattice points. In this note we prove that any convex lattice 11-gon contains at least 15 interior lattice points.

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Author information

Authors and Affiliations

  1. College of Science, Hebei University of Science and Technology, Shijiazhuang, 050018, People’s Republic of China

    Xianglin Wei

  2. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, People’s Republic of China

    Ren Ding

Authors
  1. Xianglin Wei
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  2. Ren Ding
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Corresponding author

Correspondence to Xianglin Wei.

Additional information

This research was supported by National Natural Science Foundation of China (10571042), NSF of Hebei (A2005000144) and the SF of Hebei Normal University (L2004202).

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Wei, X., Ding, R. On the interior lattice points of convex lattice 11-gon. J. Appl. Math. Comput. 30, 193–199 (2009). https://doi.org/10.1007/s12190-008-0166-9

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  • DOI: https://doi.org/10.1007/s12190-008-0166-9

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