Zero-sum problems in finite abelian groups: A survey
By Weidong Gao, Alfred Geroldinger. 2006
343 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/c717ac26521f021167643a0414246c795dcdabee
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In Computational Theory and Mathematics
- Wolfgang A. Schmid
- Alfred Geroldinger
- Florian Kainrath
- Weidong Gao
- Pedro A. García-Sánchez
- Víctor Blanco
- W. Hassler
- Felix Gotti
In Discrete Mathematics and Combinatorics
In Electrical and Electronic Engineering
Citations in the corpus
- Inverse zero-sum problems II (2008, methodology): “We recall some standard notation and terminology (we follow [10] and”
- Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids (2010, background): “which is a classical constant in Combinatorial Number Theory (see [18, 21]).”
- Local tameness of v-noetherian monoids (2008, background): “Then D(G) d (G)+1, and equality holds (among others) for p-groups and if r(G) 2 (see [ 11, Section 3 ] or [15, Chapter 5]).”
- On the arithmetic of tame monoids with applications to Krull monoids and Mori domains (2010, background): “We define the Davenport constant of G0 by D(G0) = sup { |U| ∣∣ U ∈ A(G0)} ∈ N0 ∪ {∞}, which is a central invariant in zero-sum theory (see [15,18] for its relevance in factorization theory).”
- Davenport constant with weights and some related questions. (2006, background): “Here we shall be concerned with certain generalizations of two important combinatorial invariants related to zero-sum problems (for detailed accounts one may see [10], [3], [13], [9]) in finite abelian groups.”
- On products of k atoms (2009, background): “which is a central invariant in zero-sum theory (see [12]).”