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Witten Complex of Transitive Digraph and Its Convergence 传递有向图的Witten复形及其收敛性
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-03-27 DOI: 10.11648/j.mcs.20230802.12
Chonghu Wang, Xin Lai, Rongge Yu, Yaxuan Zheng, Bao-Ping Liu
{"title":"Witten Complex of Transitive Digraph and Its Convergence","authors":"Chonghu Wang, Xin Lai, Rongge Yu, Yaxuan Zheng, Bao-Ping Liu","doi":"10.11648/j.mcs.20230802.12","DOIUrl":"https://doi.org/10.11648/j.mcs.20230802.12","url":null,"abstract":": Digraphs are generalization of graphs in which each edge is given one or two directions. For each digraph, there exists a transitive digraph containing it. Moreover, all the formal linear combinations of allowed elementary paths form a basis of the path complex for a transitive digraph. Hence, the study of discrete Morse theory on transitive digraphs is very important for the further study of discrete Morse theory on general digraphs. As we know, the definition of discrete Morse function on a digraph is different from that on a simplical complex or a cell complex: each discrete Morse function on a digraph is a discrete flat Witten-Morse function. In this paper, we deform the usual boundary operator, replacing it with a boundary operator with parameters and consider the induced Laplace operators. In addition, we consider the eigenvectors of the eigenvalues of the Laplace operator that approach to zero when the parameters approach infinity, define the generation space of these eigenvectors, and further give the Witten complex of digraphs. Finally, we prove that for a transitive digraph, Witten complex approaches to its Morse complex. However, for general digraphs, the structure of Morse complex is not as simple as that of transitive digraphs and the critical path is not directly related to the eigenvector with zero eigenvalue of Laplace operator. This is explained in the last part of the paper.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86772916","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
Construction of an Approximate-Analytical Solution for Boundary Value Problems of a Parabolic Equation 一类抛物型方程边值问题近似解析解的构造
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-03-09 DOI: 10.11648/j.mcs.20230802.11
Dalabaev Umurdin, Hasanova Dilfuza
{"title":"Construction of an Approximate-Analytical Solution for Boundary Value Problems of a Parabolic Equation","authors":"Dalabaev Umurdin, Hasanova Dilfuza","doi":"10.11648/j.mcs.20230802.11","DOIUrl":"https://doi.org/10.11648/j.mcs.20230802.11","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89030318","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
Theoretical study and numerical simulation for a mathematical model of diffusive cancer with effect of stem cell therapy and chemotherapy 扩散性癌症干细胞治疗与化疗数学模型的理论研究与数值模拟
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-18 DOI: 10.22436/jmcs.030.04.04
N. Aljahdaly, N. A. Almushaity
{"title":"Theoretical study and numerical simulation for a mathematical model of diffusive cancer with effect of stem cell therapy and chemotherapy","authors":"N. Aljahdaly, N. A. Almushaity","doi":"10.22436/jmcs.030.04.04","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.04","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46736286","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
Generalized m -preinvexity on fractal set and related local fractional integral inequalities with applications 分形集上的广义m-预凸性及相关的局部分数积分不等式及其应用
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-18 DOI: 10.22436/jmcs.030.04.05
S. Al-Sa'di, M. Bibi, M. Muddassar, S. Kermausuor
{"title":"Generalized m -preinvexity on fractal set and related local fractional integral inequalities with applications","authors":"S. Al-Sa'di, M. Bibi, M. Muddassar, S. Kermausuor","doi":"10.22436/jmcs.030.04.05","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.05","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43595293","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
On the elliptical solutions of models connected to the short pulse equation 关于短脉冲方程模型的椭圆解
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-18 DOI: 10.22436/jmcs.030.04.07
S. Jamal, R. Champala
{"title":"On the elliptical solutions of models connected to the short pulse equation","authors":"S. Jamal, R. Champala","doi":"10.22436/jmcs.030.04.07","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.07","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47168830","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
Generalised Hermite-Hadamard type inequalities for ( s , r ) -convex functions in mixed kind with applications 混合类(s, r)凸函数的广义Hermite-Hadamard型不等式及其应用
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-18 DOI: 10.22436/jmcs.030.04.06
F. Mehmood, F. Nawaz, A. Soleev
{"title":"Generalised Hermite-Hadamard type inequalities for ( s , r ) -convex functions in mixed kind with applications","authors":"F. Mehmood, F. Nawaz, A. Soleev","doi":"10.22436/jmcs.030.04.06","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.06","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46815981","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
Application of the Plant Propagation Algorithm and NSGA-II to Multiple Objective Linear Programming 植物繁殖算法及NSGA-II在多目标线性规划中的应用
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-10 DOI: 10.11648/j.mcs.20230801.13
Paschal Bisong Nyiam, A. Salhi
{"title":"Application of the Plant Propagation Algorithm and NSGA-II to Multiple Objective Linear Programming","authors":"Paschal Bisong Nyiam, A. Salhi","doi":"10.11648/j.mcs.20230801.13","DOIUrl":"https://doi.org/10.11648/j.mcs.20230801.13","url":null,"abstract":": Multiple Objective Linear Programming (MOLP) problems are usually solved by exact methods. However, nature-inspired population based stochastic algorithms such as the plant propagation algorithm are becoming more and more prominent. This paper applies the multiple objective plant propagation algorithm (MOPPA) and nondominated sorting genetic algorithm II (NSGA-II) for the first time to MOLP and compares their outcomes with those of prominent exact methods. Computational results from a collection of 51 existing MOLP instances suggests that MOPPA compares favourably with four of the most prominent exact methods namely extended multiple objective simplex algorithm (EMSA), affine scaling interior MOLP algorithm (ASIMOLP), Benson’s outer-approximation algorithm (BOA) and parametric simplex algorithm (PSA)","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89159141","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
Generalized neutrosophic ideal convergent sequence spaces 广义中性理想收敛序列空间
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-09 DOI: 10.22436/jmcs.030.04.03
M. Ahmad, M. I. Idrisi, A. Sirohi
{"title":"Generalized neutrosophic ideal convergent sequence spaces","authors":"M. Ahmad, M. I. Idrisi, A. Sirohi","doi":"10.22436/jmcs.030.04.03","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.03","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44341970","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 existence and stability of Caputo Volterra-Fredholm systems 关于Caputo-Volterra—Fredholm系统的存在性和稳定性
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-09 DOI: 10.22436/jmcs.030.04.02
S. A. Jameel
{"title":"On the existence and stability of Caputo Volterra-Fredholm systems","authors":"S. A. Jameel","doi":"10.22436/jmcs.030.04.02","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.02","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47768853","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
Connectedness, local connectedness, and components on bipolar soft generalized topological spaces 双极软广义拓扑空间上的连通性、局部连通性和分量
IF 2.5
Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-02-09 DOI: 10.22436/jmcs.030.04.01
H. Saleh, Baravan A. Asaad, R. A. Mohammed
{"title":"Connectedness, local connectedness, and components on bipolar soft generalized topological spaces","authors":"H. Saleh, Baravan A. Asaad, R. A. Mohammed","doi":"10.22436/jmcs.030.04.01","DOIUrl":"https://doi.org/10.22436/jmcs.030.04.01","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48157645","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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