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Trapping Issues for Weight-dependent Walks in the Weighted Extended Cayley Networks 加权扩展 Cayley 网络中取决于权重的行走的陷阱问题
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-11-01 DOI: 10.11648/j.acm.20231205.12
Dandan Ye, Fei Zhang, Yiteng Qin, Xiaojuan Zhang, Ning Zhang, Jin Qin, Wei Chen, Yingze Zhang
{"title":"Trapping Issues for Weight-dependent Walks in the Weighted Extended Cayley Networks","authors":"Dandan Ye, Fei Zhang, Yiteng Qin, Xiaojuan Zhang, Ning Zhang, Jin Qin, Wei Chen, Yingze Zhang","doi":"10.11648/j.acm.20231205.12","DOIUrl":"https://doi.org/10.11648/j.acm.20231205.12","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"8 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139302447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–İsmail’s two conjectures 封闭式公式、行列式表达、递推关系、幂级数和克拉克-伊斯梅尔两个猜想中使用的几个函数的特殊值
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-10-19 DOI: 10.30546/1683-6154.22.4.2023.443
Yan-Fang Li, D. Lim, Feng Qi
{"title":"Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–İsmail’s two conjectures","authors":"Yan-Fang Li, D. Lim, Feng Qi","doi":"10.30546/1683-6154.22.4.2023.443","DOIUrl":"https://doi.org/10.30546/1683-6154.22.4.2023.443","url":null,"abstract":"In the paper, by virtue of the famous formula of Fa`a di Bruno, with the aid of several identities of partial Bell polynomials, by means of a formula for derivatives of the ratio of two differentiable functions, and with availability of other techniques, the authors establish closed-form formulas in terms of the Bernoulli numbers and the second kind Stirling numbers, present determinantal expressions, derive recursive relations, obtain power series, and compute special values of the function $frac{v^j}{1-operatorname{e}^{-v}}$, its derivatives, and related ones used in Clark--Ismail's two conjectures. By these results, the authors also discover a formula for the determinant of a Hessenberg matrix and derive logarithmic convexity of a sequence related to the function and its derivatives.","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"238 1 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139316771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Lagrange-type Algebraic Minimal Bivariate Fractal Interpolation Formula 拉格朗日型代数极小二元分形插值公式
2区 数学
Applied and Computational Mathematics Pub Date : 2023-09-25 DOI: 10.11648/j.acm.20231205.11
Ildikó Somogyi, Anna Soós
{"title":"Lagrange-type Algebraic Minimal Bivariate Fractal Interpolation Formula","authors":"Ildikó Somogyi, Anna Soós","doi":"10.11648/j.acm.20231205.11","DOIUrl":"https://doi.org/10.11648/j.acm.20231205.11","url":null,"abstract":"Fractal interpolation methods became an important method in data processing, even for functions with abrupt changes. In the last few decades it has attracted several authors because it can be applied in various fields. The advantage of these methods are that we can generalize the classical approximation methods and also we can combine these methods for example with Lagrange interpolation, Hermite interpolation or spline interpolation. The classical Lagrange interpolation problem give the construction of a suitable approximate function based on the values of the function on given points. These method was generalized for more than one variable functions. In this article we generalize the so-called algebraic maximal Lagrange interpolation formula in order to approximate functions on a rectangular domain with fractal functions. The construction of the fractal function is made with a so-called iterated function system. This method it has the advantage that all classical methods can be obtained as a particular case of a fractal function. We also use the construction for a polynomial type fractal function and we proof that the Lagrange-type algebraic minimal bivariate fractal function satisfies the required interpolation conditions. Also we give a delimitation of the error, using the result regarding the error of a polynomial fractal interpolation function.","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A q-Operational Equation for Carlitz’s q-Operators with Some Applications Carlitz q算子的q-运算方程及其应用
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-07-21 DOI: 10.11648/j.acm.20231204.12
Jianbing Cao, Cheng Zhang, S. Arjika
{"title":"A <i>q</i>-Operational Equation for Carlitz’s <i>q</i>-Operators with Some Applications","authors":"Jianbing Cao, Cheng Zhang, S. Arjika","doi":"10.11648/j.acm.20231204.12","DOIUrl":"https://doi.org/10.11648/j.acm.20231204.12","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"29 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78112145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A Fiedler’s Approach to LINEX Intuitionistic Fuzzy C-means Clustering Induced Spectral Initialization for Data Analysis 用于数据分析的 LINEX 直觉模糊 C-means 聚类诱导光谱初始化的费德勒方法
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-07-21 DOI: 10.11648/j.acm.20231204.11
M. Nithya, K. Bhuvaneswari, S. Senthil
{"title":"A Fiedler’s Approach to LINEX Intuitionistic Fuzzy C-means Clustering Induced Spectral Initialization for Data Analysis","authors":"M. Nithya, K. Bhuvaneswari, S. Senthil","doi":"10.11648/j.acm.20231204.11","DOIUrl":"https://doi.org/10.11648/j.acm.20231204.11","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"196 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139356648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Some Triple Generations of the Lyons Sporadic Simple Group Ly 里昂散发性单群Ly的几代
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-07-20 DOI: 10.11648/j.acm.20231203.12
M. Motalane, Z. Mpono
{"title":"Some Triple Generations of the Lyons Sporadic Simple Group <i>Ly</i>","authors":"M. Motalane, Z. Mpono","doi":"10.11648/j.acm.20231203.12","DOIUrl":"https://doi.org/10.11648/j.acm.20231203.12","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"19 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86472166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A Perturbative Approach for the Solution of Sturm-Liouville Problems 解决斯特姆-刘维尔问题的惯性方法
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-06-13 DOI: 10.11648/j.acm.20231203.11
N. Egidi, J. Giacomini, Pierluigi Maponi
{"title":"A Perturbative Approach for the Solution of Sturm-Liouville Problems","authors":"N. Egidi, J. Giacomini, Pierluigi Maponi","doi":"10.11648/j.acm.20231203.11","DOIUrl":"https://doi.org/10.11648/j.acm.20231203.11","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"14 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139370108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Domination Number and Secure Resolving Sets in Cyclic Networks 循环网络中的控制数与安全解析集
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-05-29 DOI: 10.11648/j.acm.20231202.12
Basma Mohamed, Mohamed Amin
{"title":"Domination Number and Secure Resolving Sets in Cyclic Networks","authors":"Basma Mohamed, Mohamed Amin","doi":"10.11648/j.acm.20231202.12","DOIUrl":"https://doi.org/10.11648/j.acm.20231202.12","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91215375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 3
Impacts of Seasonal and Spatial Variations on the Transmission of Typhoid Fever 季节和空间变化对伤寒传播的影响
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-04-11 DOI: 10.11648/j.acm.20231202.11
Huei-li Lin, Kuang-Hui Lin, Y. Shyu, Feng-Bin Wang
{"title":"Impacts of Seasonal and Spatial Variations on the Transmission of Typhoid Fever","authors":"Huei-li Lin, Kuang-Hui Lin, Y. Shyu, Feng-Bin Wang","doi":"10.11648/j.acm.20231202.11","DOIUrl":"https://doi.org/10.11648/j.acm.20231202.11","url":null,"abstract":"and","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"21 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83978991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Distance Version of Forgotten Topological Index of Some Graph Products 某些图积的遗忘拓扑索引的距离版本
IF 1 2区 数学
Applied and Computational Mathematics Pub Date : 2023-03-23 DOI: 10.11648/j.acm.20231201.13
Aruvi Mathivanan, M. Joseph
{"title":"Distance Version of Forgotten Topological Index of Some Graph Products","authors":"Aruvi Mathivanan, M. Joseph","doi":"10.11648/j.acm.20231201.13","DOIUrl":"https://doi.org/10.11648/j.acm.20231201.13","url":null,"abstract":": In this paper, we have been found the exact values of distance version of Forgotten Topological index of various types of products such as strong, corona and tensor products of simple and connected graphs. Also we have been calculate the exact values of distance version of Forgotten Topological index of tensor product of path, cycle and complete graphs","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"37 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73810090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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