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- W3009211648 abstract "Let $h=prod_{i=1}^{t}p_i^{s_i}$ be its decomposition into a product of powers of distinct primes, and $mathbb{Z}_{h}$ be the residue class ring modulo $h$. Let $mathbb{Z}_{h}^{n}$ be the $n$-dimensional row vector space over $mathbb{Z}_{h}$. A generalized Grassmann graph for $mathbb{Z}_{h}^n$, denoted by $G_r(m,n,mathbb{Z}_{h})$ ($G_r$ for short), has all $m$-subspaces of $mathbb{Z}_{h}^n$ as its vertices, and two distinct vertices are adjacent if their intersection is of dimension $>m-r$, where $2leq rleq m+1leq n$. In this paper, we determine the clique number and geometric structures of maximum cliques of $G_r$. As a result, we obtain the Erdős-Ko-Rado theorem for $mathbb{Z}_{h}^{n}$ and some bounds of the independence number of $G_r$." @default.
- W3009211648 created "2020-03-13" @default.
- W3009211648 creator A5048656706 @default.
- W3009211648 date "2020-03-03" @default.
- W3009211648 modified "2023-09-27" @default.
- W3009211648 title "ErdH{o}s-Ko-Rado theorem and generalized Grassmann graphs for vector spaces over residue class rings" @default.
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- W3009211648 hasPublicationYear "2020" @default.
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