On subsets of Abelian groups with no 3-term arithmetic progression
Journal of Combinatorial Theory Series A
On subsets of finite Abelian groups with no 3-term arithmetic progressions
Journal of Combinatorial Theory Series A
On weighted sums in Abelian groups
Discrete Mathematics
The classification of the largest caps in AG(5, 3)
Journal of Combinatorial Theory Series A
A variant of Kemnitz conjecture
Journal of Combinatorial Theory Series A
A Weighted Erdős-Ginzburg-Ziv Theorem
Combinatorica
Note: Davenport constant with weights and some related questions, II
Journal of Combinatorial Theory Series A
Designs, Codes and Cryptography
Sequences in abelian groups G of odd order without zero-sum subsequences of length exp(G)
Designs, Codes and Cryptography
A weighted generalization of gao's n + d − 1 theorem
Combinatorics, Probability and Computing
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Let G be an additive finite abelian group with exponent exp(G). Let s(G) (resp. @h(G)) be the smallest integer t such that every sequence of t elements (repetition allowed) from G contains a zero-sum subsequence T of length |T|=exp(G) (resp. |T|@?[1,exp(G)]). Let H be an arbitrary finite abelian group with exp(H)=m. In this paper, we show that s(C"m"n@?H)=@h(C"m"n@?H)+mn-1 holds for all n=max{m|H|+1,4|H|+2m}.