{"title":"Effects of B-D Functional Response and Protection Zone on a Predator-prey Model","authors":"Yu-Xia Wang, Shouwen Fan","doi":"10.11650/tjm/230501","DOIUrl":"https://doi.org/10.11650/tjm/230501","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42137955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let $G$ be a connected graph and $D^{L}(G) = operatorname{Tr}(G) - D(G)$ be the distance Laplacian matrix of $G$, where $operatorname{Tr}(G)$ and $D(G)$ are diagonal matrix with vertex transmissions of $G$ and distance matrix of $G$, respectively. The $D^{L}$-spectral radius of $G$ is defined as the largest absolute value of the distance Laplacian eigenvalues of $G$. In this paper, we characterize the unique extremal graphs which maximize the $D^{L}$-spectral radius among the complements of trees and unicyclic graphs, respectively.
{"title":"Distance Laplacian Spectral Radius of the Complements of Trees and Unicyclic Graphs","authors":"Kang Liu, Dan Li, Yuanyuan Chen","doi":"10.11650/tjm/231002","DOIUrl":"https://doi.org/10.11650/tjm/231002","url":null,"abstract":"Let $G$ be a connected graph and $D^{L}(G) = operatorname{Tr}(G) - D(G)$ be the distance Laplacian matrix of $G$, where $operatorname{Tr}(G)$ and $D(G)$ are diagonal matrix with vertex transmissions of $G$ and distance matrix of $G$, respectively. The $D^{L}$-spectral radius of $G$ is defined as the largest absolute value of the distance Laplacian eigenvalues of $G$. In this paper, we characterize the unique extremal graphs which maximize the $D^{L}$-spectral radius among the complements of trees and unicyclic graphs, respectively.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136366379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We construct new symplectic $4$-manifolds with non-negative signatures and with the smallest Euler characteristics, using fake projective planes, Cartwright–Steger surfaces and their normal covers and product symplectic $4$-manifolds $Sigma_{g} times Sigma_{h}$, where $g geq 1$ and $h geq 0$, along with exotic symplectic $4$-manifolds constructed in [7, 12]. In particular, our constructions yield to (1) infinitely many irreducible symplectic and infinitely many non-symplectic $4$-manifolds that are homeomorphic but not diffeomorphic to $(2n-1) mathbb{CP}^{2} # (2n-1) overline{mathbb{CP}}^{2}$ for each integer $n geq 9$, (2) infinite families of simply connected irreducible nonspin symplectic and such infinite families of non-symplectic $4$-manifolds that have the smallest Euler characteristics among the all known simply connected $4$-manifolds with positive signatures and with more than one smooth structure. We also construct a complex surface with positive signature from the Hirzebruch's line-arrangement surfaces, which is a ball quotient.
{"title":"Complex Ball Quotients and New Symplectic $4$-manifolds with Nonnegative Signatures","authors":"Anar Akhmedov, Sümeyra Sakallı, Sai-Kee Yeung","doi":"10.11650/tjm/230905","DOIUrl":"https://doi.org/10.11650/tjm/230905","url":null,"abstract":"We construct new symplectic $4$-manifolds with non-negative signatures and with the smallest Euler characteristics, using fake projective planes, Cartwright–Steger surfaces and their normal covers and product symplectic $4$-manifolds $Sigma_{g} times Sigma_{h}$, where $g geq 1$ and $h geq 0$, along with exotic symplectic $4$-manifolds constructed in [7, 12]. In particular, our constructions yield to (1) infinitely many irreducible symplectic and infinitely many non-symplectic $4$-manifolds that are homeomorphic but not diffeomorphic to $(2n-1) mathbb{CP}^{2} # (2n-1) overline{mathbb{CP}}^{2}$ for each integer $n geq 9$, (2) infinite families of simply connected irreducible nonspin symplectic and such infinite families of non-symplectic $4$-manifolds that have the smallest Euler characteristics among the all known simply connected $4$-manifolds with positive signatures and with more than one smooth structure. We also construct a complex surface with positive signature from the Hirzebruch's line-arrangement surfaces, which is a ball quotient.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Implicit Discontinuous Galerkin Scheme for Solving the Cardiovascular Drug-eluting Stents' Model","authors":"Somayeh Fakhri, S. H. Momeni-Masuleh","doi":"10.11650/tjm/230402","DOIUrl":"https://doi.org/10.11650/tjm/230402","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43620283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Filter Regularization Method for Inverse Source Problem of the Rayleigh–Stokes Equation","authors":"Songshu Liu","doi":"10.11650/tjm/230302","DOIUrl":"https://doi.org/10.11650/tjm/230302","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45908743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Stability of a Linear Cauchy Rao–Nakra Sandwich Beam Under Frictional Dampings","authors":"A. Guesmia","doi":"10.11650/tjm/230502","DOIUrl":"https://doi.org/10.11650/tjm/230502","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43078106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Smallest $2$-Pisot Numbers in $mathbb{F}_{q}((X^{-1}))$ Where $q$ is Different from the Power of $2$","authors":"H. Kthiri","doi":"10.11650/tjm/230601","DOIUrl":"https://doi.org/10.11650/tjm/230601","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46671856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the structure of potent elements in matrix rings with same diagonals and polynomial rings, motivated by Jacobson's theorem of commutativity. A ring shall be said to be PC if every potent element is central. We investigate the structure of PC rings in relation to the commutativity of rings. It is proved that if $R$ is a PC ring of prime characteristic then the polynomial ring over $R$ is also a PC ring. Every periodic PC ring is shown to be commutative.
{"title":"Structure of Rings Whose Potent Elements are Central","authors":"Tai Keun Kwak, Yang Lee, Yeonsook Seo","doi":"10.11650/tjm/231103","DOIUrl":"https://doi.org/10.11650/tjm/231103","url":null,"abstract":"We study the structure of potent elements in matrix rings with same diagonals and polynomial rings, motivated by Jacobson's theorem of commutativity. A ring shall be said to be PC if every potent element is central. We investigate the structure of PC rings in relation to the commutativity of rings. It is proved that if $R$ is a PC ring of prime characteristic then the polynomial ring over $R$ is also a PC ring. Every periodic PC ring is shown to be commutative.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135668202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Maximal Number of Maximum Dissociation Sets in Forests with Fixed Order and Dissociation Number","authors":"Wanting Sun, Shuchao Li","doi":"10.11650/tjm/230204","DOIUrl":"https://doi.org/10.11650/tjm/230204","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47799614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ventcel-type Transmission Conditions for the Scattering of a Time-harmonic Wave Problem with Accuracy up to Order $3$","authors":"K. E. Boutarene, Sami Galleze","doi":"10.11650/tjm/230201","DOIUrl":"https://doi.org/10.11650/tjm/230201","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46532944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：