Results 1 to 10 of about 1,461 (103)
Deriving Some Properties of Stanley-Reisner Rings from Their Squarefree Zero-Divisor Graphs
International Electronic Journal of Algebra, 2022 Let ∆ be a simplicial complex, I∆ its Stanley-Reisner ideal and R = K[∆] its Stanley-Reisner ring over a field K. In 2018, the author introduced the squarefree zero-divisor graph of R, denoted by Γsf(R), and proved that if ∆ and ∆′ are two simplicial ...
A. Nikseresht
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A GENERALIZATION OF THE ESSENTIAL GRAPH FOR MODULES OVER COMMUTATIVE RINGS
International Electronic Journal of Algebra, 2021 Let R be a commutative ring with nonzero identity and let M be a unitary R-module. The essential graph of M , denoted by EG(M) is a simple undirected graph whose vertex set is Z(M)\AnnR(M) and two distinct vertices x and y are adjacent if and only if ...
F. Soheilnia, S. Payrovi, A. Behtoei
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On the Non-Inverse Graph of a Group
Discussiones Mathematicae - General Algebra and Applications, 2022 Let (G, *) be a finite group and S = {u ∈ G|u ≠ u−1}, then the inverse graph is defined as a graph whose vertices coincide with G such that two distinct vertices u and v are adjacent if and only if either u * v ∈ S or v * u ∈ S.
Amreen Javeria, Naduvath Sudev
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Determining Number of Kneser Graphs: Exact Values and Improved Bounds [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The determining number of a graph $G = (V,E)$ is the minimum cardinality of a set $S\subseteq V$ such that pointwise stabilizer of $S$ under the action of $Aut(G)$ is trivial.
Angsuman Das, Hiranya Kishore Dey
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Remark on subgroup intersection graph of finite abelian groups
Open Mathematics, 2020 Let G be a finite group. The subgroup intersection graph Γ(G)\text{Γ}(G) of G is a graph whose vertices are non-identity elements of G and two distinct vertices x and y are adjacent if and only if |〈x〉∩〈y〉|>1|\langle x\rangle \cap \langle y\rangle
Zhao Jinxing, Deng Guixin
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Mobius Group Generated by Two Elements of Order 2, 4, and Reduced Quadratic Irrational Numbers
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The construction of circuits for the evolution of orbits and reduced quadratic irrational numbers under the action of Mobius groups have many applications like in construction of substitution box (s‐box), strong‐substitution box (s.s‐box), image processing, data encryption, in interest for security experts, and other fields of sciences.
Dilshad Alghazzawi +5 more
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 151-173, December 2021., 2021 Abstract The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands. In this case, it is a hyperbolic graph, by the celebrated Masur–Minsky's theorem.
Matthieu Calvez +1 more
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Deforming cubulations of hyperbolic groups
Journal of Topology, Volume 14, Issue 3, Page 877-912, September 2021., 2021 Abstract We describe a procedure to deform cubulations of hyperbolic groups by ‘bending hyperplanes’. Our construction is inspired by related constructions like Thurston's Mickey Mouse example, walls in fibred hyperbolic 3‐manifolds and free‐by‐Z groups, and Hsu–Wise turns.
Elia Fioravanti, Mark Hagen
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Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups [PDF]
, 2003 We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results.
J. Crisp, B. Wiest
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Symmetric graphs of valency seven and their basic normal quotient graphs
Open Mathematics, 2021 We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with ...
Pan Jiangmin, Huang Junjie, Wang Chao
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