Properties of a class of groups on Zm
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DOI: 10.1007/s11859-017-1210-0
Abstract: In this paper, we obtain the factorization of direct production and order of group GL(n, Zm) in a simple method. Then we generalize some properties of GL(2, Zp) proposed by Huppert, and prove that the… read more here.
Keywords: properties class; group; class groups;
Some Algebraic Properties of a Class of Integral Graphs Determined by Their Spectrum
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DOI: 10.1155/2021/6632206
Abstract: Let $\Gamma=(V,E)$ be a graph. If all the eigenvalues of the adjacency matrix of the graph $\Gamma$ are integers, then we say that $\Gamma$ is an integral graph. A graph $\Gamma$ is determined by its… read more here.
Keywords: properties class; algebraic properties; graph gamma; determined spectrum ... See more keywords
Spectral properties of a class of unicyclic graphs
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DOI: 10.1186/s13660-017-1367-2
Abstract: The eigenvalues of G are denoted by λ1(G),λ2(G),…,λn(G)$\lambda_{1}(G), \lambda_{2}(G), \ldots, \lambda_{n}(G)$, where n is the order of G. In particular, λ1(G)$\lambda _{1}(G)$ is called the spectral radius of G, λn(G)$\lambda_{n}(G)$ is the least eigenvalue of… read more here.
Keywords: properties class; lambda; unicyclic graphs; class unicyclic ... See more keywords
Topological Properties of a Class of Higher-dimensional Self-affine Tiles
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DOI: 10.4153/s0008439519000237
Abstract: Abstract We construct a family of self-affine tiles in $\mathbb{R}^{d}$ ( $d\geqslant 2$ ) with noncollinear digit sets, which naturally generalizes a class studied originally by Q.-R. Deng and K.-S. Lau in $\mathbb{R}^{2}$ , and… read more here.
Keywords: class higher; affine tiles; properties class; self affine ... See more keywords