Computational and Applied Mathematics最新文献_第7页

Incremental quaternion singular value decomposition and its application for low rank quaternion matrix completion 增量四元数奇异值分解及其在低秩四元数矩阵补全中的应用

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1007/s40314-024-02874-5

Yang Xu, Kaixin Gao

引用次数: 0

MPCA and MDA via Einstein product MPCA 和 MDA 通过爱因斯坦产品

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1007/s40314-024-02866-5

Aoulaia Andahmou

引用次数: 0

The degree-distance and transmission-adjacency matrices 度距矩阵和传输捷径矩阵

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1007/s40314-024-02870-9

Carlos A. Alfaro, Octavio Zapata

{"title":"The degree-distance and transmission-adjacency matrices","authors":"Carlos A. Alfaro, Octavio Zapata","doi":"10.1007/s40314-024-02870-9","DOIUrl":"https://doi.org/10.1007/s40314-024-02870-9","url":null,"abstract":"Let G be a connected graph with adjacency matrix A(G) and distance matrix D(G). Let ({{,textrm{dist},}}(u,v)) denote the distance between the pair of vertices (u,vin V(G)), then the transmission ({{,textrm{trs},}}(u)) of vertex u is defined as (sum _{vin V(G)}{{,textrm{dist},}}(u,v)). Let ({{,textrm{trs},}}(G)) be the diagonal matrix whose diagonal elements are the transmissions of the vertices of G. And, let (deg (G)) be the diagonal matrix whose diagonal elements are the degrees of the vertices of G. In this paper we investigate the Smith normal form (SNF) and the spectrum of the matrices (D^{deg }_+(G):=deg (G)+D(G)), (D^{deg }(G):=deg (G)-D(G)), (A^{{{,textrm{trs},}}}_+(G):={{,textrm{trs},}}(G)+A(G)) and (A^{{{,textrm{trs},}}}(G):={{,textrm{trs},}}(G)-A(G)). In particular, we explore how good the SNF and the spectrum of these matrices are for determining graphs up to isomorphism. We found that the SNF of (A^{{{,textrm{trs},}}}) has an interesting behaviour when compared with other classical matrices. We note that the SNF of (A^{{{,textrm{trs},}}}) can be used to compute the structure of the sandpile group of certain graphs. We compute the SNF of (D^{deg }_+), (D^{deg }), (A^{{{,textrm{trs},}}}_+) and (A^{{{,textrm{trs},}}}) for several graph families. We prove that the SNF of (D^{deg }_+), (D^{deg }), (A^{{{,textrm{trs},}}}_+) and (A^{{{,textrm{trs},}}}) determine complete graphs. Finally, we derive some results about the spectrum of (D^{deg }) and (A^{{{,textrm{trs},}}}).","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"19 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886328","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: 0

Deformation of surfaces along curves and their applications 曲面沿曲线变形及其应用

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1007/s40314-024-02857-6

Dae Won Yoon, Hyun Chol Lee

引用次数: 0

On the genus and crosscap two coannihilator graph of commutative rings 关于交换环的属和交叉卡普二共析图

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-01 DOI: 10.1007/s40314-024-02872-7

Mohd Nazim, Shabir Ahmad Mir, Nadeem Ur Rehman

{"title":"On the genus and crosscap two coannihilator graph of commutative rings","authors":"Mohd Nazim, Shabir Ahmad Mir, Nadeem Ur Rehman","doi":"10.1007/s40314-024-02872-7","DOIUrl":"https://doi.org/10.1007/s40314-024-02872-7","url":null,"abstract":"Consider a commutative ring with unity denoted as (mathscr {R}), and let (W(mathscr {R})) represent the set of non-unit elements in (mathscr {R}). The coannihilator graph of (mathscr {R}), denoted as (AG'(mathscr {R})), is a graph defined on the vertex set (W(mathscr {R})^*). This graph captures the relationships among non-unit elements. Specifically, two distinct vertices, x and y, are connected in (AG'(mathscr {R})) if and only if either (x notin xymathscr {R}) or (y notin xymathscr {R}), where (wmathscr {R}) denotes the principal ideal generated by (w in mathscr {R}). In the context of this paper, the primary objective is to systematically classify finite rings (mathscr {R}) based on distinct characteristics of their coannihilator graph. The focus is particularly on cases where the coannihilator graph exhibits a genus or crosscap of two. Additionally, the research endeavors to provide a comprehensive characterization of finite rings (mathscr {R}) for which the connihilator graph (AG'(mathscr {R})) attains an outerplanarity index of two.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"55 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886327","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: 0

A second order difference scheme on a Bakhvalov-type mesh for the singularly perturbed Volterra delay-integro-differential equation 奇异扰动 Volterra 迟滞积分微分方程的巴赫瓦洛夫型网格上的二阶差分方案

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-31 DOI: 10.1007/s40314-024-02873-6

Yige Liao, Xianbing Luo, Li-Bin Liu

引用次数: 0

Spectrum of super commuting graphs of some finite groups 一些有限群的超交换图谱

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-30 DOI: 10.1007/s40314-024-02859-4

Sandeep Dalal, Sanjay Mukherjee, Kamal Lochan Patra

{"title":"Spectrum of super commuting graphs of some finite groups","authors":"Sandeep Dalal, Sanjay Mukherjee, Kamal Lochan Patra","doi":"10.1007/s40314-024-02859-4","DOIUrl":"https://doi.org/10.1007/s40314-024-02859-4","url":null,"abstract":"Let (Gamma ) be a simple finite graph with vertex set (V(Gamma )) and edge set (E(Gamma )). Let (mathcal {R}) be an equivalence relation on (V(Gamma )). The (mathcal {R})-super (Gamma ) graph (Gamma ^{mathcal {R}}) is a simple graph with vertex set (V(Gamma )) and two distinct vertices are adjacent if either they are in the same (mathcal {R})-equivalence class or there are elements in their respective (mathcal {R})-equivalence classes that are adjacent in the original graph (Gamma ). We first show that (Gamma ^{mathcal {R}}) is a generalized join of some complete graphs and using this we obtain the adjacency and Laplacian spectrum of conjugacy super commuting graphs and order super commuting graphs of dihedral group (D_{2n}; (nge 3)), generalized quaternion group (Q_{4m} ;(mge 2)) and the nonabelian group (mathbb {Z}_p rtimes mathbb {Z}_q) of order pq, where p and q are distinct primes with (q|(p-1)).","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"48 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141869827","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: 0

On the maximum $$A_{alpha }$$ -spectral radius of unicyclic and bicyclic graphs with fixed girth or fixed number of pendant vertices 关于具有固定周长或固定垂顶数量的单环和双环图的最大 $$A_{alpha }$ - 谱半径

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-27 DOI: 10.1007/s40314-024-02856-7

Joyentanuj Das, Iswar Mahato

引用次数: 0

Roughness of linear Diophantine fuzzy sets by intuitionistic fuzzy relations over dual universes with decision-making applications 双宇宙上直觉模糊关系的线性二叉模糊集的粗糙度与决策应用

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-26 DOI: 10.1007/s40314-024-02805-4

Rizwan Gul, Saba Ayub, Muhammad Shabir, Tmader Alballa, Hamiden Abd El-Wahed Khalifa

{"title":"Roughness of linear Diophantine fuzzy sets by intuitionistic fuzzy relations over dual universes with decision-making applications","authors":"Rizwan Gul, Saba Ayub, Muhammad Shabir, Tmader Alballa, Hamiden Abd El-Wahed Khalifa","doi":"10.1007/s40314-024-02805-4","DOIUrl":"https://doi.org/10.1007/s40314-024-02805-4","url":null,"abstract":"Rough sets (RSs) and fuzzy sets (FSs) are designed to tackle the uncertainty in the data. By taking into account the control or reference parameters, the linear Diophantine fuzzy set (LD-FS) is a novel approach to decision making (DM), broadens the previously dominant theories of the intuitionistic fuzzy set (IFS), Pythagorean fuzzy set (PyFS), and q-rung orthopair fuzzy set (q-ROFS), and allows for a more flexible representation of uncertain data. A promising avenue for RS theory is to investigate RSs within the context of LD-FS, where LD-FSs are approximated by an intuitionistic fuzzy relation (IFR). The major goal of this article is to create a novel method of roughness for LD-FSs employing an IFR over dual universes. The notions of lower and upper approximations of an LD-FS are established by using an IFR, and some axiomatic systems are carefully investigated in detail. Moreover, a link between LD-FRSs and linear Diophantine fuzzy topology (LDF-topology) has been established. Eventually, based on lower and upper approximations of an LD-FS, several similarity relations are investigated. Meanwhile, we apply the recommended model of LD-FRSs over dual universes for solving the DM problem. Furthermore, a real-life case study is given to demonstrate the practicality and feasibility of our designed approach. Finally, we conduct a detailed comparative analysis with certain existing methods to explore the effectiveness and superiority of the established technique.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"23 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771038","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: 0

On a class of capillarity phenomenon with logarithmic nonlinearity involving $$theta (cdot )$$ -Laplacian operator 论一类具有对数非线性的毛细现象，涉及 $$theta (cdot )$$ - 拉普拉卡算子

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-26 DOI: 10.1007/s40314-024-02863-8

Arhrrabi elhoussain, El-Houari Hamza, J. Vanterler da C. Sousa

引用次数: 0