The minimum area of convex lattice n-gons

Combinatorica

Volumn 24, Issue 2, 2004, Pages 171-185

  Bárány, Imre ^a,b   Tokushige, Norihide ^c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF THE RYUKYUS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042717663     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-004-0012-0     Document Type: Article

References (13)

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4. I. BÁRÁNY and J. PACH: On the number of convex lattice polygons, Comb. Prob. Comp. 1 (1992), 295-302.
5. H. BUSEMANN: Volume in terms of concurrent cross-sections, Pacific J. Math. 3 (1953), 1-12.
6. G. H. HARDY and E. M. WRIGHT: An introduction to the theory of numbers, Clarendon Press, Oxford (1979).
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8. S. B. KONYAGIN and K. A. SEVASTYANOV: Estimation of the number of vertices of a convex integral polyhedron in terms of its volume, Funk. Anal. Pril. 18 (1984), 13-15 (in Russian). English translation: Fund. Anal. Appl. 18 (1984), 11-13.
9. S. B. KONYAGIN and K. A. SEVASTYANOV: Estimation of the number of vertices of a convex integral polyhedron in terms of its volume, Funk. Anal. Pril. 18 (1984), 13-15 (in Russian). English translation: Fund. Anal. Appl. 18 (1984), 11-13.
10. 3) bounds for the area of a convex lattice n-gon. Geombinatorics 2 (1993), 85-88.
11. A. RÉNYI and R. SULANKE: Über die konvexe Hülle von n zufällig gewählten Punkten, Z. Wahrsch. Verw. Geb. 2 (1963), 75-84.
12. W. SCHMIDT: Integral points on surfaces and curves, Monatshefte Math. 99 (1985), 45-82.
13. R. SCHNEIDER: Convex bodies: the Brunn-Minkowski theory, Encyclopedia Math. Appl. vol 44, Cambridge University Press, Cambridge, 1993.