Results 11 to 20 of about 80,890 (284)
On the Davenport constant and on the structure of extremal zero-sum free sequences [PDF]
Periodica Mathematica Hungarica, 2012 The final publication will be availabe via http://www.springerlink ...
Alfred Geroldinger +2 more
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The cross number of minimal zero-sum sequences in finite abelian groups
Journal of Number Theory, 2015 We study the maximal cross number $\mathsf{K}(G)$ of a minimal zero-sum sequence and the maximal cross number $\mathsf{k}(G)$ of a zero-sum free sequence over a finite abelian group $G$, defined by Krause and Zahlten. In the first part of this paper, we extend a previous result by X.
Bumsoo Kim
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Zero sums in restricted sequences [PDF]
Discrete Mathematics, 2021 A sequence $\bfx=(x_1,\ldots,x_m)$ of elements of $\Z_n$ is called an \textit{$A$-weighted Davenport Z-sequence} if there exists $\bfa:=(a_1,\ldots,a_m)\in (A\cup\{0\})^m\setminus\bfzero_m$ such that $\sum_i a_ix_i=0$. Here $\bfzero_m=(0,\ldots,0)\in\Z_n^m$.
Niranjan Balachandran, Eshita Mazumdar
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Investigation of Steady State Two-Phase Short Circuit Modes Of Phase-Shifting Autotransformer with Hexagon Scheme and with Adjusting Autotransformer [PDF]
Problems of the Regional Energetics, 2023 The purpose of work is to investigate two - phase short-circuiting modes of new autotransformer FACT’s - type device and is intended for power systems flexible connection.
Bosneaga V., Suslov V.
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On Short Zero-Sum Subsequences of Zero-Sum Sequences [PDF]
The Electronic Journal of Combinatorics, 2012 Let $G$ be a finite abelian group of exponent $\exp(G)$. By $D(G)$ we denote the smallest integer $d\in \mathbb N$ such that every sequence over $G$ of length at least $d$ contains a nonempty zero-sum subsequence. By $\eta(G)$ we denote the smallest integer $d\in \mathbb N$ such that every sequence over $G$ of length at least $d$ contains a zero-sum ...
Yushuang Fan +4 more
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On Sequences Without Short Zero-Sum Subsequences
The Electronic Journal of Combinatorics, 2023 Let $G$ be a finite abelian group. It is well known that every sequence $S$ over $G$ of length at least $|G|$ contains a zero-sum subsequence of length at most $\mathsf{h}(S)$, where $\mathsf{h}(S)$ is the maximal multiplicity of elements occurring in $S$.
Xiangneng Zeng, Pingzhi Yuan
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Ecology and Evolution, 2022 For community ecologists, “neutral or not?” is a fundamental question, and thus, rejecting neutrality is an important first step before investigating the deterministic processes underlying community dynamics.
Yayoi Takeuchi +2 more
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Tiny zero-sum sequences over some special groups
Open Mathematics, 2020 Let S=g1⋅…⋅gnS={g}_{1}\cdot \ldots \cdot {g}_{n} be a sequence with elements gi{g}_{i} from an additive finite abelian group G. S is called a tiny zero-sum sequence if S is non-empty, g1+…+gn=0{g}_{1}+\hspace{0.2em}\ldots \hspace{0.2em}+{g}_{n}=0 and k(S)
Wang Linlin
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e-Prime: Advances in Electrical Engineering, Electronics and Energy, 2022 The advent of renewable distributed generation has led to the rethinking of the conventional protection systems, especially during fault. A sustainable fault detection algorithm is needed to enhance the distribution system's resiliency and safety ...
Soham Dutta +3 more
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The structure of maximal zero-sum free sequences [PDF]
Acta Arithmetica, 2010 Let n be an integer, and consider finite sequences of elements of the group Z/nZ x Z/nZ. Such a sequence is called zero-sum free, if no subsequence has sum zero. It is known that the maximal length of such a zero-sum free sequence is 2n-2, and Gao and Geroldinger conjectured that every zero-sum free sequence of this length contains an element with ...
Bhowmik, Gautami +2 more
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