Steiner Distance in Product Networks

For a connected graph $G$ of order at least $2$ and $S\subseteq V(G)$, the \emph{Steiner distance} $d_G(S)$ among the vertices of $S$ is the minimum size among all connected subgraphs whose vertex sets contain $S$. Let $n$ and $k$ be two integers with $2\leq k\leq n$. Then the \emph{Steiner $k$-eccentricity $e_k(v)$} of a vertex $v$ of $G$ is defined by $e_k(v)=\max \{d_G(S)\,|\,S\subseteq V(G), \ |S|=k, \ and \ v\in S\}$. Furthermore, the \emph{Steiner $k$-diameter} of $G$ is $sdiam_k(G)=\max \{e_k(v)\,|\, v\in V(G)\}$. In this paper, we investigate the Steiner distance and Steiner $k$-diameter of Cartesian and lexicographical product graphs. Also, we study the Steiner $k$-diameter of some networks.Comment: 29 pages, 4 figure

Polyunsaturated fatty acid deficiency affects sulfatides and other sulfated glycans in lysosomes through autophagy-mediated degradation （多価不飽和脂肪酸欠乏は、ライソゾームにおいてオートファジーを介した分解を通じてスルファチドおよび硫酸化グリカンに影響を与える）

信州大学(Shinshu university)博士（医学）雑誌に発表。 / The FASEB Journal 34(7):9564-9614 (2020); doi:10.1096/fj.202000030RR. ©　2020 Federation of American Societies for Experimental Biology (FASEB)ThesisWANG YAPING. Polyunsaturated fatty acid deficiency affects sulfatides and other sulfated glycans in lysosomes through autophagy-mediated degradation （多価不飽和脂肪酸欠乏は、ライソゾームにおいてオートファジーを介した分解を通じてスルファチドおよび硫酸化グリカンに影響を与える）. 信州大学, 2020, 博士論文. 博士（医学）, 甲第1216号, 令和02年09月30日授与.doctoral thesi

The History and Contemporary Enlightenment of the Rural Land System Reform Led by the Communist Party of China

The rural land system in China has achieved a historical transformation from feudal proprietorship to peasant proprietorship and later to collective ownership, and has now reached the beginning of a new stage. This provides the foundation for future social development in China. The Communist Party of China (CPC) has played a leading role in the rural land system reform. The history of this reform has important implications on the construction of socialism with Chinese characteristics, especially on the implementation of rural revitalization strategy, in the new age