Results 1 to 10 of about 143,397 (296)
On the index of minimal zero-sum sequences over finite cyclic groups
Journal of Combinatorial Theory - Series A, 2007 Let \(G\) be a cyclic group of order \(n\geq 2\). A finite sequence \(S\) of not necessarily distinct elements from \(G\) with \(|S|= k\) the number of elements in \(S\) (\(k\) the length of \(S\)) will be written in the form \[ S= g_1\cdot\dots\cdot g_k= \prod^k_{i=1} g_i= \prod_{g\in G} g^{v_g(S)}, \] where \(v_g(S)\geq 0\) is called the multiplicity
Pingzhi Yuan
exaly +4 more sources
Zero-sum subsequences in bounded-sum {−r,s}-sequences [PDF]
Journal of Combinatorial Theory - Series A, 2021 24 pages, 1 ...
Alec Sun
exaly +4 more sources
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
doaj +3 more sources
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
exaly +3 more sources
MINIMAL ZERO-SUM SEQUENCES IN FINITE CYCLIC GROUPS
Taiwanese Journal of Mathematics, 2009 Let $C_n$ be the cyclic group of order $n$, $n\geq 20$, and let $S=\prod_{i=1}^k g_i$ be a minimal zero-sum sequence of elements in $C_n$. We say that $S$ is insplitable if for any $g_i\in S$ and any two elements $x,y\in C_n$ satisfying $x+y=g_i$, $Sg_i^{-1}xy$ is not a minimal zero-sum sequence any more.
Jujuan Zhuang, Pingzhi Yuan
exaly +3 more sources
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
openaire +2 more sources
Algebraic proof of recursive relation for Boros-Moll polynomial sequence [PDF]
Journal of Hebei University of Science and Technology, 2023 In order to expand the basic theory of the recurrence relationship of Boros-Moll polynomial sequence, a new proof method for the recurrence relationship of Boros-Moll polynomial sequence was studied.
Yujie DOU +3 more
doaj +1 more source
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.
doaj +1 more source
Restraint Scheme of Transformer Zero Sequence Differential Protection Based on Tanimoto Similarity
Zhongguo dianli, 2023 As one of the important transformer protections, zero sequence differential protection has the advantages of high sensitivity and strong anti-interference ability.
Jia ZHU +5 more
doaj +1 more source
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
openaire +3 more sources