Some zero-sum constants with weights

Adhikari, S. D. ; Balasubramanian, R. ; Pappalardi, F. ; Rath, P. (2008) Some zero-sum constants with weights Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 118 (2). pp. 183-188. ISSN 0253-4142

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For an abelian group G, the Davenport constant D(G) is defined to be the smallest natural number k such that any sequence of k elements in G has a nonempty subsequence whose sum is zero (the identity element). Motivated by some recent developments around the notion of Davenport constant with weights, we study them in some basic cases. We also define a new combinatorial invariant related to (Z/nZ)d , more in the spirit of some constants considered by Harborth and others and obtain its exact value in the case of (Z/nZ)2 where n is an odd integer.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Davenport's Constant; Zero-sum Problems
ID Code:1311
Deposited On:04 Oct 2010 07:52
Last Modified:16 May 2016 12:27

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