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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Some Metric Inequalities for Lattice Polygons

Stanley Rabinowitz1,2
1Polytechnic University, Brooklyn, N.Y.
2Alliant Computer Systems Corporation Littleton, MA 01460
  • Published: 30/04/1989

Abstract

Given a convex lattice polygon with \(g\) interior lattice points, we find upper and lower bounds for the perimeter, diameter, and width of the polygon. For small \(g\), the extremal figures were found by computer.

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Citation
Stanley Rabinowitz. Some Metric Inequalities for Lattice Polygons[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 005. 119-138. DOI: .