Results 1 to 10 of about 22,256 (275)
ALTERNATING AND SYMMETRIC GROUPS WITH EULERIAN GENERATING GRAPH [PDF]
Forum of Mathematics, Sigma, 2017 Given a finite group $G$ , the generating graph $\unicode[STIX]{x1D6E4}(G)$
ANDREA LUCCHINI, CLAUDE MARION
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Minimum Neighborhood of Alternating Group Graphs [PDF]
IEEE Access, 2019 The minimum neighborhood and combinatorial property are two important indicators of fault tolerance of a multiprocessor system. Given a graph G, θG(q) is the minimum number of vertices adjacent to a set of q vertices of G (1 ≤ q ≤ |V(
Yanze Huang +3 more
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Automorphism group of the complete alternating group graph [PDF]
Applied Mathematics and Computation, 2017 9 pages, 1 ...
Xueyi Huang, Qiongxiang Huang
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Divisibility Graph for Symmetric and Alternating Groups [PDF]
Communications in Algebra, 2015 Let $X$ be a non-empty set of positive integers and $X^*=X\setminus \{1\}$. The divisibility graph $D(X)$ has $X^*$ as the vertex set and there is an edge connecting $a$ and $b$ with $a, b\in X^*$ whenever $a$ divides $b$ or $b$ divides $a$. Let $X=cs~{G}$ be the set of conjugacy class sizes of a group $G$. In this case, we denote $D(cs~{G})$ by $D(G)$.
Mohammad A Iranmanesh +1 more
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The automorphism group of the alternating group graph
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinxin Zhou
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On groups having the prime graph as alternating and symmetric groups [PDF]
Communications in Algebra, 2019 The {\it prime graph} $Γ(G)$ of a finite group $G$ is the graph whose vertex set is the set of prime divisors of $|G|$ and in which two distinct vertices $r$ and $s$ are adjacent if and only if there exists an element of $G$ of order $rs$. Let $A_n$ ($S_n$) denote the alternating (symmetric) group of degree $n$.
Alexey Staroletov, Ilya Gorshkov
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On characterization by order and prime graph for alternating groups
Siberian Mathematical Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Mahmoudifar +2 more
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Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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Examples and Counterexamples, 2023 A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
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Metric properties of Cayley graphs of alternating groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 A well known diameter search problem for finite groups with respect to its systems of generators is considered. The problem can be formulated as follows: find the diameter of a group over its system of generators.
M.S. Olshevskyi
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