{"title":"Topological Indices for Inverse Graphs Associated With Finite Cyclic Group","authors":"S. Gopinath, A. Doss, G. Kalaimurugan","doi":"10.26713/cma.v14i1.2026","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2026","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82160719","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}
{"title":"Some Binomial Sums of (kappa)-Jacobsthal and (kappa)-Jacobsthal-Lucas Numbers","authors":"A. D. Godase","doi":"10.26713/cma.v14i1.1842","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1842","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75371310","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}
{"title":"Numerical Simulation for a Differential Difference Equation With an Interior Layer","authors":"P. Amala, M. Lalu, K. Phaneendra","doi":"10.26713/cma.v14i1.2047","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2047","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80039304","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}
K. Raju, Ravuri Mohanaramana, S. Reddy, K. Raghunath
. An unsteady, MHD incompressible water-based Jeffrey nanofluid (Cu and TiO 2 ) flow across a stretched sheet in a transverse magnetic domain, thermic radiation, and Soret effects are examined in this article. For each physical parameter, the governing differential equalisations are converted into a set of nonlinear associated standard differential equalisations, translated utilising a perturbation approach with suitable limit essentials for the governing differential equations. The solution for the governing nonlinear boundary value concern is conveyed based on the perturbation technique throughout the complete range of material parameters. The impacts of numerous biological factors on the dimensionless velocity, temperature, concentration, and pressure silhouettes are graphically displayed and thoroughly examined. It is possible to gain favourable comparisons with formerly publicised work on several particular topic situations. Finally, numerical significances of material portions, such as the local skin-friction specification, the Nusselt numeral, and the Sherwood digit, are provided in tabular form, allowing easy comparison.
{"title":"Chemical Radiation and Soret Effects on Unsteady MHD Convective Flow of Jeffrey Nanofluid Past an Inclined Semi-Infinite Vertical Permeable Moving Plate","authors":"K. Raju, Ravuri Mohanaramana, S. Reddy, K. Raghunath","doi":"10.26713/cma.v14i1.1867","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1867","url":null,"abstract":". An unsteady, MHD incompressible water-based Jeffrey nanofluid (Cu and TiO 2 ) flow across a stretched sheet in a transverse magnetic domain, thermic radiation, and Soret effects are examined in this article. For each physical parameter, the governing differential equalisations are converted into a set of nonlinear associated standard differential equalisations, translated utilising a perturbation approach with suitable limit essentials for the governing differential equations. The solution for the governing nonlinear boundary value concern is conveyed based on the perturbation technique throughout the complete range of material parameters. The impacts of numerous biological factors on the dimensionless velocity, temperature, concentration, and pressure silhouettes are graphically displayed and thoroughly examined. It is possible to gain favourable comparisons with formerly publicised work on several particular topic situations. Finally, numerical significances of material portions, such as the local skin-friction specification, the Nusselt numeral, and the Sherwood digit, are provided in tabular form, allowing easy comparison.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77354721","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}
. Interconnection Networks are a boon to human made large computing systems which are often designed based on the need. In this paper, we address the question of obtaining an interconnection network to suit a specific need which is a cumbersome procedure. The methods for constructing infinitely large interconnection networks from any simple, undirected graph G is illustrated and their properties are discussed. Further, we study the behaviour of certain vertex-degree based graph invariants of the constructed networks under the transformations by means of graph operation and obtain explicit relations for energy and some degree-based topological indices. Also, we show that they can be computed in polynomial time for these constructed networks. By doing so, we also obtain new methods of constructing infinite families of integral graphs
{"title":"Interconnection Networks via Adjacencies and Their Vertex-Degree Based Graph Invariants","authors":"S. Surya, P. Subbulakshmi","doi":"10.26713/cma.v14i1.1920","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1920","url":null,"abstract":". Interconnection Networks are a boon to human made large computing systems which are often designed based on the need. In this paper, we address the question of obtaining an interconnection network to suit a specific need which is a cumbersome procedure. The methods for constructing infinitely large interconnection networks from any simple, undirected graph G is illustrated and their properties are discussed. Further, we study the behaviour of certain vertex-degree based graph invariants of the constructed networks under the transformations by means of graph operation and obtain explicit relations for energy and some degree-based topological indices. Also, we show that they can be computed in polynomial time for these constructed networks. By doing so, we also obtain new methods of constructing infinite families of integral graphs","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77453244","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}
{"title":"Numerical Study of Layer Behaviour Differential-Difference Equations With Small Delay Arising in the Nerve Pulse Propagation","authors":"Kumar Ragula, G. Soujanya","doi":"10.26713/cma.v14i1.1970","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1970","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91080818","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}
. In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors
{"title":"Proximal Point Algorithm Based on AP Iterative Technique for Nonexpansive Mappings in CAT(0) Spaces","authors":"Anju Panwar, J. ., Prateek Mor, Pinki .","doi":"10.26713/cma.v14i1.1831","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1831","url":null,"abstract":". In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83885054","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}
Navya Kakarlapudi, M. S. K. Mylapalli, R. Sri, Soujanya Marapaga
{"title":"Applications of an Efficient Iterative Scheme for Finding Zeros of Nonlinear Equations and Its Basins of Attraction","authors":"Navya Kakarlapudi, M. S. K. Mylapalli, R. Sri, Soujanya Marapaga","doi":"10.26713/cma.v14i1.2113","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2113","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84328812","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}
{"title":"Study of Waves Propagating in Anisotropic Homogeneous Microstretch Elastic Medium","authors":"N. Rani, S. Garg","doi":"10.26713/cma.v14i1.2287","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2287","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89246870","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}
. For each positive integer k , a simple graph G of order p is said to be k -prime labeling if there exists an injective function f whose labels are from k to k + p − 1 that induces a function f + : E ( G ) → N of the edges of G defined by f + ( uv ) = gcd( f ( u ), f ( v )), ∀ e = uv ∈ E ( G ) such that every pair of neighbouring vertices are relatively prime. This type of graph is known as a k -prime graph. In this paper, we redefine the labeling as vertex k -prime labeling for some k positive integers and study some cyclic snake graphs and corona graphs of the form mC n ⊙ K 1 which admit vertex k -prime labeling.
． 对于每个正整数k,一个简单图G p阶据说k '标签如果存在一个单射函数f的标签从k, k + p−1,函数f +: E (G)→N G的边缘定义为f +(紫外线)=肾小球囊性肾病(f (u), f (v)),∀E =紫外线∈E (G),这样每一对相邻的顶点相对'。这种类型的图被称为k '图。本文将若干k个正整数的标记重新定义为顶点k素数标记，并研究了若干允许顶点k素数标记的形式为mcn⊙k1的循环蛇形图和电晕图。
{"title":"Vertex (k)-Prime Labeling of Cyclic Snakes","authors":"S. T. Arockiamary, G. Vijayalakshmi","doi":"10.26713/cma.v14i1.1989","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1989","url":null,"abstract":". For each positive integer k , a simple graph G of order p is said to be k -prime labeling if there exists an injective function f whose labels are from k to k + p − 1 that induces a function f + : E ( G ) → N of the edges of G defined by f + ( uv ) = gcd( f ( u ), f ( v )), ∀ e = uv ∈ E ( G ) such that every pair of neighbouring vertices are relatively prime. This type of graph is known as a k -prime graph. In this paper, we redefine the labeling as vertex k -prime labeling for some k positive integers and study some cyclic snake graphs and corona graphs of the form mC n ⊙ K 1 which admit vertex k -prime labeling.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80905412","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}
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