It is shown that any finite subsetB of + contains a sumfree subsetA such that |A|≥1/3(|B|+2), which is a slight improvement of earlier results of P. Erds [Erd] and N. Alon-D. Kleitman [A-K]. The method used is harmonic analysis, refining the original approach of Erds. In...
A subset A of a given finite abelian group G is called (k,l)-sum-free if the sum of k (not necessarily distinct) elements of A does not equal the sum of l (not necessarily distinct) elements of A. We are interested in finding the maximum size u03bbk,l(G) of a (k,l)-sum-...
ON THE STRUCTURE OF ZERO-SUM FREE SET WITH MINIMUM SUBSET SUMS IN ABELIAN GROUPS Let G be an additive finite abelian group and S subset of G be a subset. Let Sigma(S) denote the set of group elements which can be expressed as a sum of a... J Peng,W Hui - Ars Combinatoria: An...
LetA be a subset of an abelian groupG with |G|=n. We say thatA is sum-free if there do not existx, y, z εA withx+y=z. We determine, for anyG, the maxi
A subset $A$ of a given finite abelian group $G$ is called $(k,l)$-sum-free if the sum of $k$ (not necessarily distinct) elements of $A$ does not equal the sum of $l$ (not necessarily distinct) elements of $A$. We are interested in finding the maximum size $\lambda_{k,l...
地点:腾讯会议 564-202-513 摘要: Let be a finite abelian group and be a subset of . Let denote the set of group elements which can be expressed as a sum of a nonempty subset of . We say that is zero-sum free if . In this talk, we introduce the problem of determining the provided...
The Dictionary of Clichés by Christine Ammer Copyright © 2013 by Christine Ammer Want to thank TFD for its existence?Tell a friend about us, add a link to this page, or visitthe webmaster's page for free fun content. Link to this page: Facebook Twitter...
Among other things, we give a characterization for large sets A in an abelian group G which do not contain a subset B of fixed size k such that the sum of any two different elements of B do not belong to A (in other words, B is sum-avoiding with respect to A). In the above ...
A subset of G is sumfree if it contains no elements x, y, z such that x+y... SRMP Eliahou - 《Discrete Mathematics》 被引量: 0发表: 2021年 Extremal Results in and out of Additive Combinatorics Second, we study the behavior of expanding polynomials on sets with additive or ...
We notice that Lemmas 1-3 remain valid if A is a subset of Z/pZ (rather than B. Green and IZ Ruzsa,Sum-free sets in abelian groups, Israel Journal of Mathematics 147 (2005 KS Kedlaya,Product-free subsets of groups, The American Mathe- matical Monthly 105 (1998), 900-906 Abelian...