Pub Date : 2023-10-16DOI: 10.9734/arjom/2023/v19i11751
Fednant O. Okware, Samuel B. Apima, Amos O. Wanjara
Human Papillomavirus (HPV) is an infectious illness with complex behavior that has had dangerous consequences in the society. In women, HPV is the leading cause of Cervical Cancer (CC). If not treated early, cervical cancer causes abnormal growth of the cervical walls, which leads to death. It is a threat, with half a million documented cases worldwide resulting in over 200 000 recorded deaths every year. In this research, we develop a mathematical model of HPV dynamics with vaccination and perform optimal control to reduce HPV and CC preventive expenses. The invariant region of the model solution was examined, and it was determined that the model was well posed and biologically meaningful. The feasibility of the model solution was examined, and it was discovered that the solution of the model remained positive in the feasible limited region (Omega). The disease equilibrium points were shown to exist. The basic reproduction number was examined and discovered to be the biggest eigenvalue of the next generation matrix. The local stability of the equilibrium points was investigated, and it was discovered that the disease free equilibrium and the endemic equilibrium points were asymptotically stable. The model was extended into optimal control, and their optimality system was derived analytically using the Pontryagin Maximum Principle. The optimality system was numerically solved using MATLAB software, and the graphs for various interventions were shown against time. Finally, the outcomes of this study suggest that when the three interventions (awareness, screening and treatment of HPV and CC, and vaccination) are combined, the infection begins to decrease considerably and eventually dies out in the community when the interventions are intensified.
{"title":"Mathematical Modelling of Human Papillomavirus (HPV) Dynamics with Vaccination Incorporating Optimal Control Analysis","authors":"Fednant O. Okware, Samuel B. Apima, Amos O. Wanjara","doi":"10.9734/arjom/2023/v19i11751","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i11751","url":null,"abstract":"Human Papillomavirus (HPV) is an infectious illness with complex behavior that has had dangerous consequences in the society. In women, HPV is the leading cause of Cervical Cancer (CC). If not treated early, cervical cancer causes abnormal growth of the cervical walls, which leads to death. It is a threat, with half a million documented cases worldwide resulting in over 200 000 recorded deaths every year. In this research, we develop a mathematical model of HPV dynamics with vaccination and perform optimal control to reduce HPV and CC preventive expenses. The invariant region of the model solution was examined, and it was determined that the model was well posed and biologically meaningful. The feasibility of the model solution was examined, and it was discovered that the solution of the model remained positive in the feasible limited region (Omega). The disease equilibrium points were shown to exist. The basic reproduction number was examined and discovered to be the biggest eigenvalue of the next generation matrix. The local stability of the equilibrium points was investigated, and it was discovered that the disease free equilibrium and the endemic equilibrium points were asymptotically stable. The model was extended into optimal control, and their optimality system was derived analytically using the Pontryagin Maximum Principle. The optimality system was numerically solved using MATLAB software, and the graphs for various interventions were shown against time. Finally, the outcomes of this study suggest that when the three interventions (awareness, screening and treatment of HPV and CC, and vaccination) are combined, the infection begins to decrease considerably and eventually dies out in the community when the interventions are intensified.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113996","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 : 2023-10-09DOI: 10.9734/arjom/2023/v19i11749
Mogoi N. Evans, Isaac O. Okwany
This research paper delves into the intriguing realm of orthogonal polynomials, focusing on their ability to attain specific norm values and the conditions under which this phenomenon occurs. It explores various polynomial families, both classical and specialized, uncovering the unique characteristics that in uence norm attainability. Beyond theoretical insights, the paper delves into practical applications across multiple disciplines, offering new perspectives and problem-solving opportunities. By marrying rigorous mathematical analysis with real-world relevance, this research enriches our understanding of orthogonal polynomials while demonstrating their potential utility in diverse fields. It invites readers on a journey to unveil hidden patterns within this captivating mathematical domain.
{"title":"Unveiling the Hidden Patterns: Exploring the Elusive Norm Attainability of Orthogonal Polynomials","authors":"Mogoi N. Evans, Isaac O. Okwany","doi":"10.9734/arjom/2023/v19i11749","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i11749","url":null,"abstract":"This research paper delves into the intriguing realm of orthogonal polynomials, focusing on their ability to attain specific norm values and the conditions under which this phenomenon occurs. It explores various polynomial families, both classical and specialized, uncovering the unique characteristics that in uence norm attainability. Beyond theoretical insights, the paper delves into practical applications across multiple disciplines, offering new perspectives and problem-solving opportunities. By marrying rigorous mathematical analysis with real-world relevance, this research enriches our understanding of orthogonal polynomials while demonstrating their potential utility in diverse fields. It invites readers on a journey to unveil hidden patterns within this captivating mathematical domain.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135146268","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 : 2023-10-09DOI: 10.9734/arjom/2023/v19i11750
Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas
In this paper, we provide certain fixed point results for a total asymptotically non-expansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of CAT(0) spaces. Furthermore, we establish strong and (Delta)-converges theorem for total asymptotically non-expansive mapping in CAT(0) space. Our result, generalizes, improve, extend and unify the results of Thakur et al. [1], Izhar et al. [2] and many more in this direction.
{"title":"A New Iterative Algorithm for Total Asymptotically Non-Expansive Mapping in CAT(0) Spaces","authors":"Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas","doi":"10.9734/arjom/2023/v19i11750","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i11750","url":null,"abstract":"In this paper, we provide certain fixed point results for a total asymptotically non-expansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of CAT(0) spaces. Furthermore, we establish strong and (Delta)-converges theorem for total asymptotically non-expansive mapping in CAT(0) space. Our result, generalizes, improve, extend and unify the results of Thakur et al. [1], Izhar et al. [2] and many more in this direction.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135147116","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 : 2023-10-09DOI: 10.9734/arjom/2023/v19i11748
Mogoi N. Evans
This research paper delves into the properties and convergence behaviors of various sequences of orthogonal polynomials, reproducing kernels, and bases within Hilbert spaces governed by norm-attainable operators. Through rigorous analysis, the study establishes the completeness of the sequences of monic orthogonal polynomials and orthonormal polynomials, highlighting their comprehensive representation and approximation capabilities in the Hilbert space. The paper also demonstrates the completeness and density attributes of the sequence of normalized reproducing kernels, showcasing its effective role in capturing the intrinsic structure of the space. Additionally, the research investigates the uniform convergence of these sequences, revealing their convergence to essential operators within the Hilbert space. Ultimately, these results contribute to both theoretical understanding and practical applications in various fields by providing insights into function approximation and representation within this mathematical framework.
{"title":"Properties and Convergence Analysis of Orthogonal Polynomials, Reproducing Kernels, and Bases in Hilbert Spaces Associated with Norm-Attainable Operators","authors":"Mogoi N. Evans","doi":"10.9734/arjom/2023/v19i11748","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i11748","url":null,"abstract":"This research paper delves into the properties and convergence behaviors of various sequences of orthogonal polynomials, reproducing kernels, and bases within Hilbert spaces governed by norm-attainable operators. Through rigorous analysis, the study establishes the completeness of the sequences of monic orthogonal polynomials and orthonormal polynomials, highlighting their comprehensive representation and approximation capabilities in the Hilbert space. The paper also demonstrates the completeness and density attributes of the sequence of normalized reproducing kernels, showcasing its effective role in capturing the intrinsic structure of the space. Additionally, the research investigates the uniform convergence of these sequences, revealing their convergence to essential operators within the Hilbert space. Ultimately, these results contribute to both theoretical understanding and practical applications in various fields by providing insights into function approximation and representation within this mathematical framework.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135146460","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 : 2023-09-27DOI: 10.9734/arjom/2023/v19i10747
P. Senthil Kumar, P. Thiruveni
The motive of this paper is to give a few not unusual place constant factor theorems in G-Metric spaces, with the aid of using the perception of Common restrict with inside the variety belongings and to illustrate appropriate examples. These outcomes make bigger and generalizes numerous widely known outcomes with inside the literature.
{"title":"Some Common Fuzzy Fixed Point Theorems on G - Metric Space","authors":"P. Senthil Kumar, P. Thiruveni","doi":"10.9734/arjom/2023/v19i10747","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10747","url":null,"abstract":"The motive of this paper is to give a few not unusual place constant factor theorems in G-Metric spaces, with the aid of using the perception of Common restrict with inside the variety belongings and to illustrate appropriate examples. These outcomes make bigger and generalizes numerous widely known outcomes with inside the literature.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"101-102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135537095","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 : 2023-09-25DOI: 10.9734/arjom/2023/v19i10745
Mogoi N. Evans, Isaac O. Okwany
This research paper offers a comprehensive investigation into the concept of norm-attainability in Banach and Hilbert spaces. It establishes that norm-attainable operators exist if and only if the target space is a Banach space and that norm-attainable polynomials are inherently linear. In convex optimization scenarios, norm-attainable polynomials lead to unique global optima. The paper explores the norm of norm-attainable operators, revealing its connection to supremum norms. In Hilbert spaces, norm-attainable operators are self-adjoint. Additionally, it shows that in finite-dimensional spaces, all bounded linear operators are norm-attainable. The research also examines extremal polynomials and their relationship with derivative roots, characterizes optimal solutions in norm-attainable operator contexts, and explores equivalence between norm-attainable operators through invertible operators. In inner product spaces, norm-attainable polynomials are identified as constant. Lastly, it highlights the association between norm-attainable operators and convex optimization problems, where solutions lie on the unit ball's boundary. This paper offers a unified perspective with significant implications for functional analysis, operator theory, and optimization in various mathematical and scientific domains.
{"title":"Norm-Attainable Operators and Polynomials: Theory, Characterization, and Applications in Optimization and Functional Analysis","authors":"Mogoi N. Evans, Isaac O. Okwany","doi":"10.9734/arjom/2023/v19i10745","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10745","url":null,"abstract":"This research paper offers a comprehensive investigation into the concept of norm-attainability in Banach and Hilbert spaces. It establishes that norm-attainable operators exist if and only if the target space is a Banach space and that norm-attainable polynomials are inherently linear. In convex optimization scenarios, norm-attainable polynomials lead to unique global optima. The paper explores the norm of norm-attainable operators, revealing its connection to supremum norms. In Hilbert spaces, norm-attainable operators are self-adjoint. Additionally, it shows that in finite-dimensional spaces, all bounded linear operators are norm-attainable. The research also examines extremal polynomials and their relationship with derivative roots, characterizes optimal solutions in norm-attainable operator contexts, and explores equivalence between norm-attainable operators through invertible operators. In inner product spaces, norm-attainable polynomials are identified as constant. Lastly, it highlights the association between norm-attainable operators and convex optimization problems, where solutions lie on the unit ball's boundary. This paper offers a unified perspective with significant implications for functional analysis, operator theory, and optimization in various mathematical and scientific domains.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"69 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":"135864599","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 : 2023-09-25DOI: 10.9734/arjom/2023/v19i10744
Mogoi Evans
This research paper investigates the convergence properties of operators constructed from orthogonal polynomials in the context of Hilbert spaces. The study establishes norm-attainability and explores the uniform boundedness of these operators, extending the analysis to include complex-valued orthogonal polynomials. Additionally, the paper uncovers connections between operator compactness and the convergence behaviors of orthogonal polynomial operators, revealing how sequences of these operators converge weakly to both identity and zero operators. These results advance our understanding of the intricate interplay betweenalgebraic and analytical properties in Hilbert spaces, contributing to fields such as functional analysis and approximation theory. The research sheds new light on the fundamental connections underlying the behavior of operators defined by orthogonal polynomials in diverse Hilbert space settings.
{"title":"Orthogonal Polynomials and Operator Convergence in Hilbert Spaces: Norm-Attainability, Uniform Boundedness, and Compactness","authors":"Mogoi Evans","doi":"10.9734/arjom/2023/v19i10744","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10744","url":null,"abstract":"This research paper investigates the convergence properties of operators constructed from orthogonal polynomials in the context of Hilbert spaces. The study establishes norm-attainability and explores the uniform boundedness of these operators, extending the analysis to include complex-valued orthogonal polynomials. Additionally, the paper uncovers connections between operator compactness and the convergence behaviors of orthogonal polynomial operators, revealing how sequences of these operators converge weakly to both identity and zero operators. These results advance our understanding of the intricate interplay betweenalgebraic and analytical properties in Hilbert spaces, contributing to fields such as functional analysis and approximation theory. The research sheds new light on the fundamental connections underlying the behavior of operators defined by orthogonal polynomials in diverse Hilbert space settings.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"43 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":"135817835","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 : 2023-09-22DOI: 10.9734/arjom/2023/v19i10743
Chunhua Feng
In this paper, the oscillation of the solutions for a Parkinson's disease model with multiple delays is discussed. By linearizing the system at the equilibrium point and analyzing the instability of the linearized system, some sufficient conditions to guarantee the existence of periodic oscillation of the solutions for a delayed Parkinson's disease system are obtained. It is found that under suitable conditions on the parameters, time delay affects the stability of the system. The present method does not need to consider a bifurcating equation. Some numerical simulations are provided to illustrate our theoretical prediction.
{"title":"Periodic Oscillation of the Solutions for a Parkinson's Disease Model","authors":"Chunhua Feng","doi":"10.9734/arjom/2023/v19i10743","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10743","url":null,"abstract":"In this paper, the oscillation of the solutions for a Parkinson's disease model with multiple delays is discussed. By linearizing the system at the equilibrium point and analyzing the instability of the linearized system, some sufficient conditions to guarantee the existence of periodic oscillation of the solutions for a delayed Parkinson's disease system are obtained. It is found that under suitable conditions on the parameters, time delay affects the stability of the system. The present method does not need to consider a bifurcating equation. Some numerical simulations are provided to illustrate our theoretical prediction.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"334 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060639","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}
Objectives: The goal of our study was to model the causative relationship and dependence of morbidity, mortality, and cumulative incidence with respect to GLOBOCAN 2020 age standardized world estimates for female and male malignancies using two adjustable parameters having physical significance.
Methods: The GLOBOCAN age standardized world estimates for patients for the year 2020 were used in this investigation. For the purposes of analyzing descriptive and analytical data, Kaleidagraph and Origin Software were employed. Bivariate empirical cross- correlation and dependency analyses were used to model how the variables were related to one another. The ratio of new cases to fatalities was calculated using equations comparing the stages of various malignancies.
Results: In this work, the use of a two-state parameter resulted in the estimation of the optimal solution. The results demonstrated a non-linear correlation with a progressive increase when the cumulative risk of cancer death for each sex was examined separately versus the global cumulative risk of cancer mortality for both sexes. Males experienced the increase more dramatically than females. This finding suggests that the global male-to-female population ratio is not the only factor contributing to cumulative risk.
Conclusion: South-Eastern Asia, out of all the regions of the world examined in this study, reached its inflection point at (16.23, 14.87). This generates the baseline and standard against which the overall risk of other countries can be measured. The global cumulative risk, which was estimated at 21.50 for females and 17.94 for males, respectively, dropped at this inflection point.
{"title":"On the Modeling of Causative and Dependence Relationship of Cancers based on Gender and Cumulative Incidence","authors":"Senyefia Bosson-Amedenu, Eric Justice Eduboah, Emmanuel Teku, Noureddine Ouerfelli, Ransford Ekow Baidoo","doi":"10.9734/arjom/2023/v19i10742","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10742","url":null,"abstract":"Objectives: The goal of our study was to model the causative relationship and dependence of morbidity, mortality, and cumulative incidence with respect to GLOBOCAN 2020 age standardized world estimates for female and male malignancies using two adjustable parameters having physical significance.
 Methods: The GLOBOCAN age standardized world estimates for patients for the year 2020 were used in this investigation. For the purposes of analyzing descriptive and analytical data, Kaleidagraph and Origin Software were employed. Bivariate empirical cross- correlation and dependency analyses were used to model how the variables were related to one another. The ratio of new cases to fatalities was calculated using equations comparing the stages of various malignancies.
 Results: In this work, the use of a two-state parameter resulted in the estimation of the optimal solution. The results demonstrated a non-linear correlation with a progressive increase when the cumulative risk of cancer death for each sex was examined separately versus the global cumulative risk of cancer mortality for both sexes. Males experienced the increase more dramatically than females. This finding suggests that the global male-to-female population ratio is not the only factor contributing to cumulative risk.
 Conclusion: South-Eastern Asia, out of all the regions of the world examined in this study, reached its inflection point at (16.23, 14.87). This generates the baseline and standard against which the overall risk of other countries can be measured. The global cumulative risk, which was estimated at 21.50 for females and 17.94 for males, respectively, dropped at this inflection point.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135013995","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 : 2023-09-19DOI: 10.9734/arjom/2023/v19i10741
None Riyaz Ur Rehman A., A. Mohamed Ismayil
For a graph G, the minimum transversal eccentric dominating energy (mathbb{E})(mathit{ted}) (G) is the sum of the eigenvalues obtained from the minimum transversal eccentric dominating (mathit{n}) x (mathit{n}) matrix (mathbb{M})(mathit{ted}) (G) = ((mathit{m})(mathit{ij})). In this paper (mathbb{E})(mathit{ted}) (G) of some standard graphs are computed. Properties, upper and lower bounds for (mathbb{E})(mathit{ted}) (G) are established.
对于图G，最小横偏心支配能量(mathbb{E})(mathit{ted}) (G)是由最小横偏心支配能量(mathit{n}) x (mathit{n})矩阵(mathbb{M})(mathit{ted}) (G) = ((mathit{m})(mathit{ij}))得到的特征值之和。本文计算了一些标准图的(mathbb{E})(mathit{ted}) (G)。建立了(mathbb{E})(mathit{ted}) (G)的性质及上界和下界。
{"title":"Minimum Transversal Eccentric Dominating Energy of Graphs","authors":"None Riyaz Ur Rehman A., A. Mohamed Ismayil","doi":"10.9734/arjom/2023/v19i10741","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10741","url":null,"abstract":"For a graph G, the minimum transversal eccentric dominating energy (mathbb{E})(mathit{ted}) (G) is the sum of the eigenvalues obtained from the minimum transversal eccentric dominating (mathit{n}) x (mathit{n}) matrix (mathbb{M})(mathit{ted}) (G) = ((mathit{m})(mathit{ij})). In this paper (mathbb{E})(mathit{ted}) (G) of some standard graphs are computed. Properties, upper and lower bounds for (mathbb{E})(mathit{ted}) (G) are established.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135015411","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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