Ars Mathematica Contemporanea最新文献

筛选

英文中文

On zero sum-partition of Abelian groups into three sets and group distance magic labeling 阿贝尔群的零和划分及群距幻标

IF 0.8 3区数学

Ars Mathematica Contemporanea Pub Date : 2017-05-09 DOI: 10.26493/1855-3974.1054.FCD

S. Cichacz

{"title":"On zero sum-partition of Abelian groups into three sets and group distance magic labeling","authors":"S. Cichacz","doi":"10.26493/1855-3974.1054.FCD","DOIUrl":"https://doi.org/10.26493/1855-3974.1054.FCD","url":null,"abstract":"We say that a finite Abelian group Γ has the constant-sum-partition property into t sets (CSP ( t ) -property) if for every partition n = r 1 + r 2 + … + r t of n , with r i ≥ 2 for 2 ≤ i ≤ t , there is a partition of Γ into pairwise disjoint subsets A 1 , A 2 , …, A t , such that ∣ A i ∣ = r i and for some ν ∈ Γ , ∑ a ∈ A i a = ν for 1 ≤ i ≤ t . For ν = g 0 (where g 0 is the identity element of Γ ) we say that Γ has zero-sum-partition property into t sets (ZSP ( t ) -property). A Γ -distance magic labeling of a graph G = ( V , E ) with ∣ V ∣ = n is a bijection l from V to an Abelian group Γ of order n such that the weight w ( x ) = ∑ y ∈ N ( x ) l( y ) of every vertex x ∈ V is equal to the same element μ ∈ Γ , called the magic constant . A graph G is called a group distance magic graph if there exists a Γ -distance magic labeling for every Abelian group Γ of order ∣ V ( G )∣ . In this paper we study the CSP (3) -property of Γ , and apply the results to the study of group distance magic complete tripartite graphs.","PeriodicalId":49239,"journal":{"name":"Ars Mathematica Contemporanea","volume":"170 1","pages":"417-425"},"PeriodicalIF":0.8,"publicationDate":"2017-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73930804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

Distance spectrum of graph compositions 图组成的距离谱

IF 0.8 3区数学

Ars Mathematica Contemporanea Pub Date : 2009-06-02 DOI: 10.26493/1855-3974.103.E09

Indulal Gopalapillai

引用次数: 28

How Long is the Future? Working with Life-limited and Life-threatened Children 未来有多长?与生命受限和生命受到威胁的儿童一起工作

IF 0.8 3区数学

Ars Mathematica Contemporanea Pub Date : 2007-03-31 DOI: 10.1558/IMRE.V3I1.5

E. Brown

引用次数: 1

首页上一页