The Brunn-Minkowski Inequality and Nonconvex Sets

Geometriae Dedicata

Volumn 67, Issue 3, 1997, Pages 337-348

  Ruzsa, Imre Z ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

Convex hull; Convexity; Sumsets; Volume

Indexed keywords

EID: 0005826591     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004958110076     Document Type: Article

References (9)

1. Ekeland, I. and Temam, R.: Convex Analysis and Variational Problems, North Holland, Amsterdam, 1976.
2. Macbeath, A. M.: On measure of sum sets II, Proc. Cambridge Phil. Soc. 49 (1953), 40-43.
3. Plünnecke, H.: Eine zahlentheoretische Anwendung der Graphentheorie, J. Reine Angew. Math. 243 (1970), 171-183.
4. Ruzsa, I. Z.: An application of graph theory to additive number theory, Scientia, Ser. A 3 (1989), 97-109.
5. Ruzsa, I. Z.: Addendum to: An application of graph theory to additive number theory, Scientia, Ser. A 4 (1990/91), 93-94.
6. Ruzsa, I. Z.: Diameter of sets and measure of sumsets, Monats. Math. 112 (1991), 323-328.
7. Ruzsa, I. Z.: Arithmetical progressions and the number of sums, Periodica Math. Hung 25 (1992), 105-111.
8. Ruzsa, I. Z.: Sets of sums and commutative graphs, Studia Sci. Math. Hungar. 30 (1995), 127-148.
9. Ruzsa, I. Z.: Sums of finite sets, Number Theory, Proc. Conf., New York, 1989 (to appear).