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Published in last 1 year |  In last 2 years |  In last 3 years |  All Please wait a minute... For Selected: Download Citations EndNote Reference Manager ProCite BibTeX RefWorks Toggle Thumbnails Select A survey on the cell theory of weighted Coxeter groups Jianyi SHI, Qian HUANG Journal of East China Normal University(Natural Science)    2023, 2023 (6): 1-13.   DOI: 10.3969/j.issn.1000-5641.2023.06.001 Abstract （185）   HTML （20）    PDF （1429KB）（172）       Knowledge map    We give a survey on the contribution of our research group to the cell theory of weighted Coxeter groups. We present some detailed account for the description of cells of the affine Weyl group $ \widetilde{C}_n $ in the quasi-split case and a brief account for that of the affine Weyl group $ \widetilde{B}_n $ in the quasi-split case and of the weighted universal Coxeter group in general case. Table and Figures | Reference | Related Articles | Metrics Select Ergodicity for a class of pure-jump population systems Zhenzhong ZHANG, Yeqin CHEN, Huiyuan LIU, Xinping LI, Xin ZHAO Journal of East China Normal University(Natural Science)    2024, 2024 (2): 1-13.   DOI: 10.3969/j.issn.1000-5641.2024.02.001 Abstract （121）   HTML （21）    PDF （716KB）（182）       Knowledge map    To characterize the effects of stochastic environment and major mutation factors on populations, we consider a class facultative population system based on Markov chains and pure-jump stable processes. First of all, the existence and uniqueness of a global positive solution of the proposed model is discussed. Then, sufficient conditions for ergodicity are specified. Finally, conditions for positive recurrence of the model are presented. Reference | Related Articles | Metrics Select ${\rm{E}} $ -total coloring of cycles and paths which are vertex-distinguished by multiple sets Xiang’en CHEN, Jing CAO Journal of East China Normal University(Natural Science)    2024, 2024 (2): 14-22.   DOI: 10.3969/j.issn.1000-5641.2024.02.002 Abstract （66）   HTML （8）    PDF （1116KB）（43）       Knowledge map    An ${\rm{E}} $ -total coloring of a graph $G $ is an assignment of several colors to all vertices and edges of $G $ such that no two adjacent vertices receive the same color and no edge receive the same color as one of its endpoints. If $f $ is an ${\rm{E}} $ -total coloring of a graph $G $, the multiple color set of a vertex $x $ of $G $ under $f $ is the multiple set composed of colors of $x $ and the edges incident with $x $. If any two distinct vertices of $G $ have distinct multiple color sets under an ${\rm{E}} $ -total coloring $f $ of a graph $G $, then $f $ is called an ${\rm{E}} $ -total coloring of $G $ vertex-distinguished by multiple sets. An ${\rm{E}} $ -total chromatic number of $G $ vertex-distinguished by multiple sets is the minimum number of the colors required in an ${\rm{E}} $ -total coloring of $G $ vertex-distinguished by multiple sets. The ${\rm{E}} $ -total colorings of cycles and paths vertex-distinguished by multiple sets are discussed by use of the method of contradiction and the construction of concrete coloring. The optimal${\rm{E}} $ -total colorings of cycles and paths vertex-distinguished by multiple sets are given and the ${\rm{E}} $ -total chromatic numbers of cycles and paths vertex-distinguished by multiple sets are determined in this paper. Table and Figures | Reference | Related Articles | Metrics Select On *r-clean rings Jian QIN, Zhiling YING, Hua ZHOU Journal of East China Normal University(Natural Science)    2024, 2024 (2): 30-32.   DOI: 10.3969/j.issn.1000-5641.2024.02.004 Abstract （49）   HTML （4）    PDF （447KB）（65）       Knowledge map    An involution ring is called a *r-clean ring if every element is the sum of a projection and a *-regular element. Some extensions of *r-clean rings are discussed, and a characterization of the element in a *-abelian *r-clean ring is given. Reference | Related Articles | Metrics Select Forced oscillation of fractional damped partial differential equation solutions with impulsive delays Wenxian LIN Journal of East China Normal University(Natural Science)    2024, 2024 (2): 33-41.   DOI: 10.3969/j.issn.1000-5641.2024.02.005 Abstract （44）   HTML （3）    PDF （538KB）（55）       Knowledge map    In this paper, some sufficient conditions for forced oscillation of impulsive multi-delay fractional partial differential equation solutions with damping term are established by using the method of differential inequalities under Robin and Dirichlet boundary conditions, an example is given to verify the validity of the main results. Reference | Related Articles | Metrics Select Several classes of sign pattern matrices that allow algebraic positivity Yan TIAN, Yang JIAO, Haoran YU Journal of East China Normal University(Natural Science)    2024, 2024 (2): 23-29.   DOI: 10.3969/j.issn.1000-5641.2024.02.003 Abstract （44）   HTML （2）    PDF （641KB）（50）       Knowledge map    Tridiagonal sign pattern matrices and paw form sign pattern matrices were analyzed with respect to their potential for ensuring algebraic positivity. The necessary conditions allowing algebraic positivity of the two classes of sign pattern matrices were given using combinatorial matrix theory and graph theory. Finally, the equivalent conditions that would ensure algebraic positivity of tridiagonal sign pattern matrices and paw form sign pattern matrices of order $n $ were determined. Reference | Related Articles | Metrics