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Volumn 30, Issue 2, 2010, Pages 163-174

A superadditivity and submultiplicativity property for cardinalities of sumsets

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EID: 77956820477     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-010-2413-6     Document Type: Article
Times cited : (31)

References (16)
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  • 2
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    • P. Ballister and B. Bollobás: Projections, entropy and sumsets, Combinatorica, to appear.
  • 3
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    • Projections of bodies and hereditary properties of hypergraphs
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    • (1995) Bull. London Math. Soc. , vol.27 , pp. 417-424
    • Bollobás, B.1    Thomason, A.2
  • 7
    • 0001049514 scopus 로고
    • Nonnegative entropy measures of multivariate symmetric correlations
    • T. S. Han: Nonnegative entropy measures of multivariate symmetric correlations, Inform. Contr. 36 (1978), 133-156.
    • (1978) Inform. Contr. , vol.36 , pp. 133-156
    • Han, T.S.1
  • 8
    • 0030138344 scopus 로고    scopus 로고
    • Structure theorem for multiple addition and the Frobenius problem
    • V. F. Lev: Structure theorem for multiple addition and the Frobenius problem, J. Number Theory58 (1996), 79-88.
    • (1996) J. Number Theory , vol.58 , pp. 79-88
    • Lev, V.F.1
  • 9
    • 58149364038 scopus 로고
    • On a theorem of Plünnecke concerning the sum of a basis and a set of positive density
    • J. L. Malouf: On a theorem of Plünnecke concerning the sum of a basis and a set of positive density, J. Number Theory54 (1995), 12-22.
    • (1995) J. Number Theory , vol.54 , pp. 12-22
    • Malouf, J.L.1
  • 10
    • 77956840402 scopus 로고    scopus 로고
    • A. Marcus and P. Tetali: Entropy relations on sums, preprint.
  • 11
    • 77956817995 scopus 로고    scopus 로고
    • M. B. Nathanson: Additive number theory: Inverse problems and the geometry of sumsets, Springer, 1996.
  • 12
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    • Eine zahlentheoretische Anwendung der Graphtheorie
    • H. Plünnecke: Eine zahlentheoretische Anwendung der Graphtheorie, J. Reine Angew. Math. 243 (1970), 171-183.
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    • Plünnecke, H.1
  • 13
    • 0013481579 scopus 로고
    • An application of graph theory to additive number theory
    • I. Z. Ruzsa: An application of graph theory to additive number theory, Scientia, Ser. A3 (1989), 97-109.
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  • 14
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    • Addendum to: An application of graph theory to additive number theory
    • I. Z. Ruzsa: Addendum to: An application of graph theory to additive number theory; Scientia, Ser. A4 (1990/91), 93-94.
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    • Ruzsa, I.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.