Asian Research Journal of Mathematics最新文献

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Maximum Linear Forest of Graphs Resulting from Some Binary Operations 由某些二元运算产生的图的最大线性森林
Asian Research Journal of Mathematics Pub Date : 2023-07-25 DOI: 10.9734/arjom/2023/v19i10720
Isagani S. Cabahug Jr.
{"title":"Maximum Linear Forest of Graphs Resulting from Some Binary Operations","authors":"Isagani S. Cabahug Jr.","doi":"10.9734/arjom/2023/v19i10720","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10720","url":null,"abstract":"For a connected nontrivial graph G, the maximum linear forest of G is the linear forest having maximum number of edges. The number of edges in a maximum linear forest is denoted by (ell)`(G).  In this paper we determine the maximum linear forest of the join and union of nontrivial connected graphs G and H , denoted by G + H and G (cup) H , respectively.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129836825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pointwise Clique-Safe Domination in Graphs 图中的点式簇安全支配
Asian Research Journal of Mathematics Pub Date : 2023-07-22 DOI: 10.9734/arjom/2023/v19i9717
John Mark R. Liwat, R. G. Eballe
{"title":"Pointwise Clique-Safe Domination in Graphs","authors":"John Mark R. Liwat, R. G. Eballe","doi":"10.9734/arjom/2023/v19i9717","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9717","url":null,"abstract":"<jats:p />","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132857406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maintainability Modelling of Total Power Outage Data 总停电数据的可维护性建模
Asian Research Journal of Mathematics Pub Date : 2023-07-22 DOI: 10.9734/arjom/2023/v19i9716
N. P. Akpan, N. Bassey
{"title":"Maintainability Modelling of Total Power Outage Data","authors":"N. P. Akpan, N. Bassey","doi":"10.9734/arjom/2023/v19i9716","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9716","url":null,"abstract":"<jats:p />","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129069541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spanning Tree Packing of Lexicographic Product of Graphs Resulting from Path and Complete Graphs 路径图与完全图词典积的生成树填充
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9710
I. S. Jr.
{"title":"Spanning Tree Packing of Lexicographic Product of Graphs Resulting from Path and Complete Graphs","authors":"I. S. Jr.","doi":"10.9734/arjom/2023/v19i9710","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9710","url":null,"abstract":"For any graphs G of order n, the spanning tree packing number, denoted by, of a graph G is the maximum number of edge disjoint spanning tree contained in G. In this study determine the spanning packing number of lexicographic product of graphs resulting from two path graphs.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114713448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Minimum Superior Eccentric Dominating Energy of Graphs 图的最小优偏心支配能
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9715
R. Tejaskumar, A. Ismayil
{"title":"The Minimum Superior Eccentric Dominating Energy of Graphs","authors":"R. Tejaskumar, A. Ismayil","doi":"10.9734/arjom/2023/v19i9715","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9715","url":null,"abstract":"For a graph  G = (V, E) of order K2 the minimum superior eccentric dominating energy SEed(G) is the sum of the eigen values obtained from the minimum superior eccentric dominating K x K matrix Ased (G) = (Seij) In this paper SEed(G) of standard graphs are computed. Properties, upper and lower bounds for SEed(G) are established.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117106762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 2-Rainbow Domination Number Over the γ-set of Some Classes of Graphs 论几类图的γ 集合上的 2 彩虹主宰数
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9712
I. S. Jr.
{"title":"On the 2-Rainbow Domination Number Over the γ-set of Some Classes of Graphs","authors":"I. S. Jr.","doi":"10.9734/arjom/2023/v19i9712","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9712","url":null,"abstract":"<jats:p />","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133826585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Spanning Tree Packing Number of the Complement of Generalized Petersen Graph and Cocktail Party Graph 广义Petersen图和鸡尾酒会图补的生成树填充数
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9714
I. S. Jr.
{"title":"On Spanning Tree Packing Number of the Complement of Generalized Petersen Graph and Cocktail Party Graph","authors":"I. S. Jr.","doi":"10.9734/arjom/2023/v19i9714","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9714","url":null,"abstract":"For any graph G, the spanning tree packing number of (sigma) (G), is the maximum number of edge-disjoint spanning trees contained in G. In this study, we determined the maximum number of edge-disjoint spanning trees of the generalized petersen graph and cocktail graph.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133945120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Common Fixed Point Theorems for ((mathfrak{F}); (phi)) - Contractive Mappings on C*-algebra Valued (mathfrak{B})-metric Spaces ((mathfrak{F});(phi)) - C*-代数值(mathfrak{B}) -度量空间上的压缩映射
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9713
K. Maheshwaran, R. J. Hussain, Nesrin Manav Tatar
{"title":"Common Fixed Point Theorems for ((mathfrak{F}); (phi)) - Contractive Mappings on C*-algebra Valued (mathfrak{B})-metric Spaces","authors":"K. Maheshwaran, R. J. Hussain, Nesrin Manav Tatar","doi":"10.9734/arjom/2023/v19i9713","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9713","url":null,"abstract":"This paper, we extends the new concept of common fixed point theorems in C*-algebra valued b-metric space (AV BMS) via ((mathfrak{F}); (phi)) - contractive mappings. Investigated are the common fixed points criteria for existence and uniqueness. Additionally, provide an illustrate an example.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116273860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simulation Study of the Bayesian and Non-Bayesian Estimation of a new Lifetime Distribution Parameters with Increasing Hazard Rate 一种新的随危险率增加的寿命分布参数的贝叶斯和非贝叶斯估计的仿真研究
Asian Research Journal of Mathematics Pub Date : 2023-07-21 DOI: 10.9734/arjom/2023/v19i9711
Dorathy O. Oramulu, Chinyere P. Igbokwe, I. C. Anabike, Harrison O. Etaga, Okechukwu J. Obulezi
{"title":"Simulation Study of the Bayesian and Non-Bayesian Estimation of a new Lifetime Distribution Parameters with Increasing Hazard Rate","authors":"Dorathy O. Oramulu, Chinyere P. Igbokwe, I. C. Anabike, Harrison O. Etaga, Okechukwu J. Obulezi","doi":"10.9734/arjom/2023/v19i9711","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9711","url":null,"abstract":"In this paper, a new distribution known as the Shifted Chris-Jerry (SHCJ) distribution is proposed. The proposition is motivated by the need to compare the efficiency of various classical estimation methods as well as the bayesian estimation using gamma prior at linear-exponential loss, squared error loss and generalized entropy loss functions. Some useful mathematical properties are derived. Single acceptance sampling plans (SASPs) are created for the distribution when the life test is truncated at a predetermined period. The median lifetime of the SHCJ distribution with pre-defined constants is taken as the truncation time. To guarantee that the specific life test is obtained at the defined risk to the user, the minimum sample size is required. For a particular consumer’s risk, the SHCJ distribution’s parameters, and the truncation time including numerical results are obtained. A simulation study is carried out for the bayesian and non-bayesian estimation of the parameters. Data on blood cancer patients is used to demonstrate the usefuleness of the proposed distribution.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"204 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114361298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Construction and Convergence of the C-S Combined Mean Method for Multiple Polynomial Zeros 多多项式零C-S组合均值法的构造与收敛性
Asian Research Journal of Mathematics Pub Date : 2023-07-20 DOI: 10.9734/arjom/2023/v19i9709
R. S. Das, Abhimanyu Kumar
{"title":"Construction and Convergence of the C-S Combined Mean Method for Multiple Polynomial Zeros","authors":"R. S. Das, Abhimanyu Kumar","doi":"10.9734/arjom/2023/v19i9709","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9709","url":null,"abstract":"In this article, we have combined two well known third order methods one is Chebyshev and another is Super- Halley to form an iterative method of third for solving polynomial equations with multiple polynomial zeros. This constructed method is basically the mean of the methods Chebyshev and Super-Halley, so we name the method as C-S Combined Mean Method. We have proposed some local convergence theorems of this C-S Combined Mean Method to establish the computation of a polynomial with known multiple zeros. For the establishment of this local convergence theorem, the key role is performed by a function(Real valued) termed as the function of initial conditions. Function of initial conditions I is a mapping from the set D into the set M , where D (subset of M ) is the domain of the C-S Combined mean iterative scheme.\u0000Here the initial conditions uses the information only at the initial point and are given in the form I(w0) which belongs to J , where J is an in interval on the positive real line which also contains 0 and w0 is the starting point. We have used the notion of gauge function which also plays very important role in establishing the convergence theorem. Here we have used two types of initial conditions over an arbitrary normed field and established local convergence theorems of the constructed C-S Combined mean method. The error estimations are also found in our convergence analysis. For simple zero, the method as well as the results hold good.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127625725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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