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Contributions To Discrete Mathematics最新文献

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Three determinants evaluated in circular products 在循环产品中计算三个决定因素
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-07-14 DOI: 10.47443/cm.2022.029
Shuling Gao, W. Chu
{"title":"Three determinants evaluated in circular products","authors":"Shuling Gao, W. Chu","doi":"10.47443/cm.2022.029","DOIUrl":"https://doi.org/10.47443/cm.2022.029","url":null,"abstract":"Three determinants for symmetric and skew-symmetric matrices are explicitly evaluated, in closed form, as circular products. One of them gives a solution to a problem proposed by Dzhumadil’daev [ Amer. Math. Monthly 129 (2022) 486].","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79576173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Irregular domination graphs 不规则支配图
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-07-12 DOI: 10.47443/cm.2022.033
Caryn Mays, Ping Zhang
{"title":"Irregular domination graphs","authors":"Caryn Mays, Ping Zhang","doi":"10.47443/cm.2022.033","DOIUrl":"https://doi.org/10.47443/cm.2022.033","url":null,"abstract":"A set S of vertices in a connected graph G is an irregular dominating set if the vertices of S can be labeled with distinct positive integers in such a way that for every vertex u of G , there is a vertex v ∈ S such that the distance from u to v is the label assigned to v . If for every vertex v ∈ S , there is a vertex u of G such that v is the only vertex of S whose distance to u is the label of v , then S is a minimal irregular dominating set. A graph H is an irregular domination graph if there exists a graph G with a minimal irregular dominating set S such that H is isomorphic to the subgraph G [ S ] of G induced by S . We determine all paths and cycles that are irregular domination graphs as well as the familiar graphs of ladders and prisms, which are Cartesian products of K 2 with paths and cycles, respectively. Other results and problems are also presented on this topic.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"25 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81952655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
X-ranks for embedded varieties and extensions of fields x级用于嵌入的品种和域的扩展
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-06-18 DOI: 10.47443/cm.2022.021
E. Ballico
{"title":"X-ranks for embedded varieties and extensions of fields","authors":"E. Ballico","doi":"10.47443/cm.2022.021","DOIUrl":"https://doi.org/10.47443/cm.2022.021","url":null,"abstract":"Let X ⊂ P r be a projective embedded variety defined over a field K . Results relating maximum and generic X -rank of points of P r ( K ) and P r ( L ) are given, where L is a field containing K . Some of these results are algebraically closed for K and L . In other results (e.g. on the cactus rank), L is a finite extension of K .","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"24 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73885832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
On the Hermite-Hadamard type inequalities involving generalized integrals 关于广义积分的Hermite-Hadamard型不等式
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-06-13 DOI: 10.47443/cm.2022.020
J. E. Valdés
{"title":"On the Hermite-Hadamard type inequalities involving generalized integrals","authors":"J. E. Valdés","doi":"10.47443/cm.2022.020","DOIUrl":"https://doi.org/10.47443/cm.2022.020","url":null,"abstract":"In this paper, using a generalized integral operator, new Hermite-Hadamard type inequalities are obtained for differentiable modified ( h, m ) -convex functions of the second type.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"2 3","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72471718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
A short derivation of an elegant sum involving central binomial coefficients due to Laszlo via a hypergeometric series approach 利用超几何级数方法对拉兹洛中心二项式系数的优雅和进行了简短的推导
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-06-13 DOI: 10.47443/cm.2022.025
D. Lim, A. Rathie
{"title":"A short derivation of an elegant sum involving central binomial coefficients due to Laszlo via a hypergeometric series approach","authors":"D. Lim, A. Rathie","doi":"10.47443/cm.2022.025","DOIUrl":"https://doi.org/10.47443/cm.2022.025","url":null,"abstract":"The aim of this short note is to establish an elegant sum involving central binomial coefficients, due to L´aszl´o [ Amer. Math. Monthly 108 (2001) 851–855], via a hypergeometric series approach.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84482879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Notes on several integral inequalities of Hermite–Hadamard type for s-geometricallyconvex functions 关于s几何凸函数的Hermite-Hadamard型积分不等式的几个注释
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-05-02 DOI: 10.47443/cm.2022.015
Chun-Ying He, Feng Qi (祁锋)
{"title":"Notes on several integral inequalities of Hermite–Hadamard type for s-geometrically\u0000convex functions","authors":"Chun-Ying He, Feng Qi (祁锋)","doi":"10.47443/cm.2022.015","DOIUrl":"https://doi.org/10.47443/cm.2022.015","url":null,"abstract":"In this paper, several erroneous results appeared in the papers [T.-Y. Zhang, A.-P. Ji, F. Qi, Abstr. Appl. Anal. 2012 (2012) #560586] and [T.-Y. Zhang, M. Tunc¸, A.-P. Ji, B.-Y. Xi, Abstr. Appl. Anal. 2014 (2014) #294739] are corrected. † 2020 Mathematics","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89255931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
On Arc Reversal in Digraphs With a Restricted Number of Cycles 有限环数有向图中的弧反转
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-04-04 DOI: 10.47443/cm.2022.014
Z. R. Bogdanowicz
{"title":"On Arc Reversal in Digraphs With a Restricted Number of Cycles","authors":"Z. R. Bogdanowicz","doi":"10.47443/cm.2022.014","DOIUrl":"https://doi.org/10.47443/cm.2022.014","url":null,"abstract":"Let C G be a longest cycle in the directed graph G = ( V, A ) . Let q be the total number of cycles in G . It is proved that if 1 ≤ q ≤ | V ( C G ) | then there exists an arc a ∈ A ( G ) whose reversal decreases the total number of cycles in G .","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"11 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84970282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
Averaging Principle for Fuzzy Stochastic Differential Equations 模糊随机微分方程的平均原理
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-04-04 DOI: 10.47443/cm.2022.003
Elhoussain Arhrrabi, M. Elomari, S. Melliani
{"title":"Averaging Principle for Fuzzy Stochastic Differential Equations","authors":"Elhoussain Arhrrabi, M. Elomari, S. Melliani","doi":"10.47443/cm.2022.003","DOIUrl":"https://doi.org/10.47443/cm.2022.003","url":null,"abstract":"This study offers the averaging principle for fuzzy stochastic differential equations (FSDEs). The solutions to FSDEs can be approximated in the sense of mean square solutions of averaged fuzzy stochastic system under certain assumptions.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88427412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
On A_alpha–Eigenvalues of Graphs and Topological Indices 图的a -特征值与拓扑指标
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-03-17 DOI: 10.47443/cm.2022.010
{"title":"On A_alpha–Eigenvalues of Graphs and Topological Indices","authors":"","doi":"10.47443/cm.2022.010","DOIUrl":"https://doi.org/10.47443/cm.2022.010","url":null,"abstract":"","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78145874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
On the Existence and Uniqueness of Solutions for a Class of Nonlinear Degenerate Elliptic Problems via Browder-Minty Theorem 用Browder-Minty定理研究一类非线性退化椭圆型问题解的存在唯一性
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-03-15 DOI: 10.47443/cm.2022.001
Mohamed El Ouaarabi, C. Allalou, S. Melliani
{"title":"On the Existence and Uniqueness of Solutions for a Class of Nonlinear Degenerate Elliptic Problems via Browder-Minty Theorem","authors":"Mohamed El Ouaarabi, C. Allalou, S. Melliani","doi":"10.47443/cm.2022.001","DOIUrl":"https://doi.org/10.47443/cm.2022.001","url":null,"abstract":"The purpose of this paper is to investigate the existence and uniqueness of weak solutions for a class of nonlinear degenerate elliptic problems of the form: where ν 1 , ν 2 , and ν 3 are A p -weight functions and the operators a , b and g are Carat´eodory functions that satisfy some certain conditions, and φ ∈ L p (cid:48) (Ω , ν 1 − p (cid:48) 1 ) . The approach used for attaining the mentioned purpose is based on the Browder-Minty theorem and the theory of weighted Sobolev spaces.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"15 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74765189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 0
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