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Matematicheskie Zametki, 2012, Volume 91, Issue 6, Pages 920–933
DOI: https://doi.org/10.4213/mzm9391
(Mi mzm9391)
 

This article is cited in 5 scientific papers (total in 5 papers)

Lattice Polygons with Two Interior Lattice Points

Xiang Lin Weia, Ren Dingb

a Hebei University of Science and Technology, China
b Hebei Normal University, China
Full-text PDF (579 kB) Citations (5)
References:
Abstract: A lattice point in the plane is a point with integer coordinates. A lattice segment is a line segment whose endpoints are lattice points. A lattice polygon is a simple polygon whose vertices are lattice points. We find all convex lattice polygons in the plane up to equivalence with two interior lattice points.
Keywords: lattice point, lattice polygon, integral unimodular affine transformation.
Received: 28.05.2012
English version:
Mathematical Notes, 2012, Volume 91, Issue 6, Pages 868–877
DOI: https://doi.org/10.1134/S0001434612050343
Bibliographic databases:
Document Type: Article
UDC: 514.174
Language: Russian
Citation: Xiang Lin Wei, Ren Ding, “Lattice Polygons with Two Interior Lattice Points”, Mat. Zametki, 91:6 (2012), 920–933; Math. Notes, 91:6 (2012), 868–877
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm9391
  • https://doi.org/10.4213/mzm9391
  • https://www.mathnet.ru/eng/mzm/v91/i6/p920
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:353
    Full-text PDF :186
    References:47
    First page:10
     
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