Name
Abstract | ||
|---|---|---|
Let G be a finite additive abelian group with exponent exp(G)=n1 and let A be a nonempty subset of {1,...,n-1}. In this paper, we investigate the smallest positive integer m, denoted by s"A(G), such that any sequence {c"i}"i"="1^m with terms from G has a length n=exp(G) subsequence {c"i"""j}"j"="1^n for which there are a"1,...,a"n@?A such that @?"j"="1^na"ic"i"""j=0. When G is a p-group, A contains no multiples of p and any two distinct elements of A are incongruent mod p, we show that s"A(G)=+~. Combined with a lower bound of exp(G)+@?"i"="1^r@?log"2n"i@?, where G@?Z"n"""1@?...@?Z"n"""r with 1 |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.aam.2011.11.007 | Advances in Applied Mathematics |
Keywords | Field | DocType |
distinct element,abelian group,exponent exp,smallest positive integer m,length n,l-intersecting set system.,weighted zero-sum sequence,finite additive abelian group,. weighted zero-sum,incongruent mod p,polynomial method,nonempty subset,lower bound,upper bound,group theory,number theory,primary | Integer,Discrete mathematics,Abelian group,Combinatorics,Exponent,Mathematical analysis,Upper and lower bounds,Function composition,Subsequence,Mathematics,Polynomial method | Journal |
Volume | Issue | ISSN |
48 | 3 | 0196-8858 |
Citations | PageRank | References |
1 | 0.39 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sukumar Das Adhikari | 1 | 23 | 6.47 |
| David J. Grynkiewicz | 2 | 42 | 10.33 |
| Zhi-Wei Sun | 3 | 93 | 37.62 |