Pub Date : 2024-07-27DOI: 10.9734/arjom/2024/v20i8817
Takaaki Fujita
The study of graph width parameters is highly significant in graph theory and combinatorics. Among these parameters, linear-width is particularly well-regarded and established. The concepts of Single Filter and Linear Obstacle pose challenges to achieving optimal linear-width in a connectivity system. In this concise paper, we present an alternative proof that establishes the cryptomorphism between Single Filter and Linear Obstacle. Although this proof may not be highly novel, we hope it will enhance the understanding of the intricate relationship between graph width parameters and ultrafilters.
{"title":"Reevaluating the Complementary Relationship between Single Ultrafilters and Linear Obstacles in Connectivity Systems","authors":"Takaaki Fujita","doi":"10.9734/arjom/2024/v20i8817","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i8817","url":null,"abstract":"The study of graph width parameters is highly significant in graph theory and combinatorics. Among these parameters, linear-width is particularly well-regarded and established. The concepts of Single Filter and Linear Obstacle pose challenges to achieving optimal linear-width in a connectivity system. In this concise paper, we present an alternative proof that establishes the cryptomorphism between Single Filter and Linear Obstacle. Although this proof may not be highly novel, we hope it will enhance the understanding of the intricate relationship between graph width parameters and ultrafilters.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"7 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141798054","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}
Pub Date : 2024-07-26DOI: 10.9734/arjom/2024/v20i8815
Owunna Ikechukwu Bismarck, Okoh Ufuoma
Moment of inertia, a fundamental concept in physics and engineering and a chief factor influencing the rotational motion of objects, is the quantitative measure of the rotational inertia of objects. It is the resistance that the objects exhibit to having their speed of rotation about an axis altered by the employment of a turning force. This paper presents a reevaluation of the moment of inertia. By exploring the arithmetic of zero and minus one factorial, we uncover the true essence of the particles involved in rotational motion. Our innovative approach reconciles intuition with mathematical precision, revealing the hidden structure underlying moment of inertia. This breakthrough enables a deeper understanding of physical systems, empowering researchers to tackle complex challenges with renewed confidence and creativity. Our work has far-reaching implications for novel applications and innovations in physics and engineering, illuminating the path for future discoveries.
{"title":"Re-Investigation of the Foundation of Moment of Inertia by Means of Zero and Minus One Factorial","authors":"Owunna Ikechukwu Bismarck, Okoh Ufuoma","doi":"10.9734/arjom/2024/v20i8815","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i8815","url":null,"abstract":"Moment of inertia, a fundamental concept in physics and engineering and a chief factor influencing the rotational motion of objects, is the quantitative measure of the rotational inertia of objects. It is the resistance that the objects exhibit to having their speed of rotation about an axis altered by the employment of a turning force. This paper presents a reevaluation of the moment of inertia. By exploring the arithmetic of zero and minus one factorial, we uncover the true essence of the particles involved in rotational motion. Our innovative approach reconciles intuition with mathematical precision, revealing the hidden structure underlying moment of inertia. This breakthrough enables a deeper understanding of physical systems, empowering researchers to tackle complex challenges with renewed confidence and creativity. Our work has far-reaching implications for novel applications and innovations in physics and engineering, illuminating the path for future discoveries.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"49 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799632","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}
This paper thoroughly examines the Hilbertian properties of the Sobolev space H1((Omega)). Based on the Lebesgue space L2((Omega)), H1((Omega)) is of particular importance in the analysis of functions with weak derivatives. The focus is on the Hilbertian structure of this space, which allows for the definition of a specific inner product and a rigorous verification of the associated completeness. These fundamental characteristics facilitate a detailed study of convergence, continuity, and orthogonality of functions in H1((Omega)), thereby enhancing its relevance for solving various complex mathematical problems. This paper aims to address gaps identified in the existing literature, where the explicit verification of these essential properties is sometimes omitted, thus compromising mathematical rigor and the applicability of results in various contexts.
{"title":"Analysis of the Hilbertian Properties of the Sobolev Space (H^1(Omega))","authors":"Grace Nkwese Mazoni, Clara Paluku Kasoki, Emilien Loranu Londjiringa, Camile Likotelo Binene","doi":"10.9734/arjom/2024/v20i8816","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i8816","url":null,"abstract":"This paper thoroughly examines the Hilbertian properties of the Sobolev space H1((Omega)). Based on the Lebesgue space L2((Omega)), H1((Omega)) is of particular importance in the analysis of functions with weak derivatives. The focus is on the Hilbertian structure of this space, which allows for the definition of a specific inner product and a rigorous verification of the associated completeness. These fundamental characteristics facilitate a detailed study of convergence, continuity, and orthogonality of functions in H1((Omega)), thereby enhancing its relevance for solving various complex mathematical problems.\u0000This paper aims to address gaps identified in the existing literature, where the explicit verification of these essential properties is sometimes omitted, thus compromising mathematical rigor and the applicability of results in various contexts.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"15 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141801100","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}
Pub Date : 2024-07-24DOI: 10.9734/arjom/2024/v20i8814
Yohanna Tella, Anas Usman
In this paper, we introduced some operations on multiset topological spaces to include union, intersection, arithmetic multiplication, Scalar multiplication and Raising to Arithmetic Power. Studies revealed that these operations are closed on the various classes of multiset topological spaces defined.
{"title":"Some Operations and Their Closure Properties on Multiset Topological Spaces","authors":"Yohanna Tella, Anas Usman","doi":"10.9734/arjom/2024/v20i8814","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i8814","url":null,"abstract":"In this paper, we introduced some operations on multiset topological spaces to include union, intersection, arithmetic multiplication, Scalar multiplication and Raising to Arithmetic Power. Studies revealed that these operations are closed on the various classes of multiset topological spaces defined.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141809445","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}
Pub Date : 2024-05-17DOI: 10.9734/arjom/2024/v20i5797
Leocint F. Consistente, Isagani S. Cabahug, Jr.
.
.
{"title":"Restrained Global Defensive Alliances on Some Special Classes of Graphs","authors":"Leocint F. Consistente, Isagani S. Cabahug, Jr.","doi":"10.9734/arjom/2024/v20i5797","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i5797","url":null,"abstract":"<jats:p>.</jats:p>","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"5 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140964305","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}
Pub Date : 2024-05-15DOI: 10.9734/arjom/2024/v20i4796
Abubakar Abdullahi Madaki, Aminu Sambo
The COVID-19 pandemic has had a huge influence on world health, with many countries enacting lockdowns and social distancing measures to help reduce transmission. However, the efficiency of these efforts is questionable, particularly in locations like as North East Nigeria, where specific socioeconomic and demographic characteristics can alter virus transmission dynamics. In this paper, we assess the pandemic in North East Nigeria by modifying the SIR to SEIR compartmental model, which incorporates data from the National Centre for Disease Control. We exposed that social distancing techniques like face masks, hand washing, and avoiding big gatherings are more successful than lockdowns in slowing the spread of COVID-19 in the region. Our findings suggest that future pandemic response plans should concentrate on social distancing measures that are both effective and feasible while avoiding the economic and social disruptions caused by lockdowns. Our work emphasizes the significance of specialized approaches to pandemic control in varied situations, including North East Nigeria.
COVID-19 大流行对世界卫生产生了巨大影响，许多国家颁布了封锁和社会隔离措施，以帮助减少传播。然而，这些努力的效率值得怀疑，尤其是在尼日利亚东北部等地区，那里特定的社会经济和人口特征会改变病毒传播的动态。在本文中，我们通过修改 SIR 到 SEIR 的分区模型，结合国家疾病控制中心的数据，对尼日利亚东北部的大流行进行了评估。我们发现，在减缓 COVID-19 在该地区的传播方面，口罩、洗手和避免大型集会等社会隔离技术比封锁更为成功。我们的研究结果表明，未来的大流行应对计划应侧重于既有效又可行的社会隔离措施，同时避免封锁造成的经济和社会混乱。我们的工作强调了在包括尼日利亚东北部在内的各种情况下采取专门方法控制流行病的重要性。
{"title":"SEIR Model on the Review Impact of Social Distancing for COVID-19 Transmission Dynamics","authors":"Abubakar Abdullahi Madaki, Aminu Sambo","doi":"10.9734/arjom/2024/v20i4796","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i4796","url":null,"abstract":"The COVID-19 pandemic has had a huge influence on world health, with many countries enacting lockdowns and social distancing measures to help reduce transmission. However, the efficiency of these efforts is questionable, particularly in locations like as North East Nigeria, where specific socioeconomic and demographic characteristics can alter virus transmission dynamics. In this paper, we assess the pandemic in North East Nigeria by modifying the SIR to SEIR compartmental model, which incorporates data from the National Centre for Disease Control. We exposed that social distancing techniques like face masks, hand washing, and avoiding big gatherings are more successful than lockdowns in slowing the spread of COVID-19 in the region. Our findings suggest that future pandemic response plans should concentrate on social distancing measures that are both effective and feasible while avoiding the economic and social disruptions caused by lockdowns. Our work emphasizes the significance of specialized approaches to pandemic control in varied situations, including North East Nigeria.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"63 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140973044","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}
Pub Date : 2024-03-23DOI: 10.9734/arjom/2024/v20i3789
Anil Kumar Mishra, Padmavati
Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on (varphi) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.
目的/目标：在我们的研究中，我们使用巴拿赫代数的 G 锥度空间中的广义收缩映射来建立各种定点和共定点结果。Beg [1] 用几个关于 (varphi) -映射的收缩条件定义了这个空间。我们的成果是对几个著名定点结果的概括和扩展。
{"title":"Some Results Regarding (varphi) -maps on G-Cone Metric Spaces with Banach Algebra","authors":"Anil Kumar Mishra, Padmavati","doi":"10.9734/arjom/2024/v20i3789","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i3789","url":null,"abstract":"Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on (varphi) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":" 27","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140211307","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}
Pub Date : 2024-03-20DOI: 10.9734/arjom/2024/v20i3788
Ossaiugbo Ifeanyi Marcus, Atonuje Augustine, Tsetimi Jonathan, Okposo Newton Ighomaro
The dynamics of the co-infection of monkeypox and HIV/AIDS is examined from a mathematical perspective via a deterministic 13-compartment model. This consists of the investigation of the equilibrium points, the basic reproduction numbers and the equilibrium points’ stability. The mathematical analysis reveals that the model is epidemiologically well-posed, and that the basic reproduction number for the monkeypox sub-model is a function of the likelihood of getting infected, the rate of effective contact, the infection coefficient of the monkeypox-infectious class, the monkeypox prevention measure, the progression rate from monkeypox-exposed class to monkeypox-infectious class, the natural death rate, the vaccination rate and the waning rate of the vaccine. It also depends on the recovery rate for the monkeypox-exposed class and the monkeypox-induced death rate. The analysis also reveals that the basic reproduction number for the HIV/AIDS sub-model is a function of the likelihood of getting infected, the rate of effective contact, the HIV/AIDS prevention measure, the infection coefficient of the monkeypox-infectious class, the HIV/AIDS-induced death rate, the natural death rate, the infection coefficient of AIDS-only class, and the progression rate of HIV-only class to AIDS-only. The stability analysis reveals that the disease-free equilibrium of the sub-models are globally asymptomatically stable, when the basic reproduction number is less than unity. Numerical simulations of the model reveal the effect of changes in certain parameter values on the population sizes. Increasing or lowering the values of certain parameters can significantly affect the sizes of some classes. The Maple 18 programming software was used to carry out all calculations and numerical simulations.
通过一个确定性的 13 室模型，从数学角度研究了猴痘和艾滋病毒/艾滋病共同感染的动态。这包括对平衡点、基本繁殖数和平衡点稳定性的研究。数学分析显示，该模型在流行病学上具有良好的假设性，猴痘子模型的基本繁殖数是感染可能性、有效接触率、猴痘感染类的感染系数、猴痘预防措施、从猴痘暴露类到猴痘感染类的进展率、自然死亡率、疫苗接种率和疫苗减弱率的函数。它还取决于猴痘暴露等级的恢复率和猴痘引起的死亡率。分析还显示，HIV/AIDS 子模型的基本繁殖数是感染可能性、有效接触率、HIV/AIDS 预防措施、猴痘感染类的感染系数、HIV/AIDS 引起的死亡率、自然死亡率、纯 AIDS 类的感染系数以及纯 HIV 类到纯 AIDS 类的进展率的函数。稳定性分析表明，当基本繁殖数小于 1 时，子模型的无病平衡是全局渐近稳定的。模型的数值模拟揭示了某些参数值的变化对种群规模的影响。提高或降低某些参数值会对某些类别的种群数量产生重大影响。所有计算和数值模拟均使用 Maple 18 编程软件进行。
{"title":"Mathematical Formulation of a Co-infection Model and its Analyses for Monkeypox and HIV/AIDS Infections","authors":"Ossaiugbo Ifeanyi Marcus, Atonuje Augustine, Tsetimi Jonathan, Okposo Newton Ighomaro","doi":"10.9734/arjom/2024/v20i3788","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i3788","url":null,"abstract":"The dynamics of the co-infection of monkeypox and HIV/AIDS is examined from a mathematical perspective via a deterministic 13-compartment model. This consists of the investigation of the equilibrium points, the basic reproduction numbers and the equilibrium points’ stability. The mathematical analysis reveals that the model is epidemiologically well-posed, and that the basic reproduction number for the monkeypox sub-model is a function of the likelihood of getting infected, the rate of effective contact, the infection coefficient of the monkeypox-infectious class, the monkeypox prevention measure, the progression rate from monkeypox-exposed class to monkeypox-infectious class, the natural death rate, the vaccination rate and the waning rate of the vaccine. It also depends on the recovery rate for the monkeypox-exposed class and the monkeypox-induced death rate. The analysis also reveals that the basic reproduction number for the HIV/AIDS sub-model is a function of the likelihood of getting infected, the rate of effective contact, the HIV/AIDS prevention measure, the infection coefficient of the monkeypox-infectious class, the HIV/AIDS-induced death rate, the natural death rate, the infection coefficient of AIDS-only class, and the progression rate of HIV-only class to AIDS-only. The stability analysis reveals that the disease-free equilibrium of the sub-models are globally asymptomatically stable, when the basic reproduction number is less than unity. Numerical simulations of the model reveal the effect of changes in certain parameter values on the population sizes. Increasing or lowering the values of certain parameters can significantly affect the sizes of some classes. The Maple 18 programming software was used to carry out all calculations and numerical simulations.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"36 S152","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140224716","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}
Pub Date : 2024-03-16DOI: 10.9734/arjom/2024/v20i3787
Daniel Sankei, Loyford Njagi, Josephine Mutembei
Polignac's Conjecture, proposed by Alphonse de Polignac in the 19th century, is a captivating hypothesis that extends the notion of twin primes to a broader context. It posits that for any even positive integer 2k, there exist infinitely many pairs of consecutive prime numbers whose difference is 2k. This conjecture is a natural generalization of the Twin Prime Conjecture, which focuses solely on pairs of primes differing by two. The conjecture has significant implications for our understanding of the distribution of prime numbers and the nature of their gaps and its exploration serves as a testament to the enduring fascination and mystery surrounding prime numbers and their properties. However, despite extensive efforts by mathematicians over the years, Polignac's Conjecture remains unproven, standing as one of the many unsolved problems in number theory. This study utilizes a set of all odd partitions generated from an even number of a new formulation, and we show that from this set of all pairs of odd numbers, there exist proper subsets containing infinitely many pairs of prime numbers whose differences is a fixed even gap. Finally, using these results and the facts that the difference of any two prime numbers is even and there exist infinitely many prime numbers, a logical proof of the Polignac's Conjecture is provided.
{"title":"A Logical Proof of the Polignac's Conjecture Based on Partitions of an Even Number of a New Formulation","authors":"Daniel Sankei, Loyford Njagi, Josephine Mutembei","doi":"10.9734/arjom/2024/v20i3787","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i3787","url":null,"abstract":"Polignac's Conjecture, proposed by Alphonse de Polignac in the 19th century, is a captivating hypothesis that extends the notion of twin primes to a broader context. It posits that for any even positive integer 2k, there exist infinitely many pairs of consecutive prime numbers whose difference is 2k. This conjecture is a natural generalization of the Twin Prime Conjecture, which focuses solely on pairs of primes differing by two. The conjecture has significant implications for our understanding of the distribution of prime numbers and the nature of their gaps and its exploration serves as a testament to the enduring fascination and mystery surrounding prime numbers and their properties. However, despite extensive efforts by mathematicians over the years, Polignac's Conjecture remains unproven, standing as one of the many unsolved problems in number theory. This study utilizes a set of all odd partitions generated from an even number of a new formulation, and we show that from this set of all pairs of odd numbers, there exist proper subsets containing infinitely many pairs of prime numbers whose differences is a fixed even gap. Finally, using these results and the facts that the difference of any two prime numbers is even and there exist infinitely many prime numbers, a logical proof of the Polignac's Conjecture is provided.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"68 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140236326","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}
Pub Date : 2024-03-13DOI: 10.9734/arjom/2024/v20i2786
Takaaki Fujita
Linear-width is a well-regarded width parameter in graph theory. The constructs of linear loose tangle and linear tangle present obstacles to attaining linear-width. In this succinct paper, our primary focus will be the exploration of maximal linear loose tangles.
{"title":"Proving Maximal Linear Loose Tangle as a Linear Tangle","authors":"Takaaki Fujita","doi":"10.9734/arjom/2024/v20i2786","DOIUrl":"https://doi.org/10.9734/arjom/2024/v20i2786","url":null,"abstract":"Linear-width is a well-regarded width parameter in graph theory. The constructs of linear loose tangle and linear tangle present obstacles to attaining linear-width. In this succinct paper, our primary focus will be the exploration of maximal linear loose tangles.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"4 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140247968","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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