Theoretical or Mathematical/ graph theory/ free Latin square graphsautomorphism free latin square graphautomorphism free Steiner triple systems/ B0250 Combinatorial mathematics C1160 Combinatorial mathematicsIn this paper, we show that there exists an automorphism free latin square graph of order n for ...
Summary: Understanding the structure of a graph along with the structure of its subgraphs is important for several problems in graph theory. Two examples are the Reconstruction Conjecture and isomorph-free generation. This paper raises the question of which pairs of groups can be represented as the...
GraphTheory AutomorphismGroup compute the automorphism group Calling Sequence Parameters Options Description Definition of Automorphism Group Details Examples References Compatibility Calling Sequence AutomorphismGroup( G , opts ) Parameters G - a graph.
英[ɔ:təʊ'mɔ:fɪzəm] 美[ɔtoʊ'mɔfɪzəm] 是什么意思 n. 自守,自同构; 英英释义 Automorphism In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the ob...
Summary: This paper shows how network symmetries (or the graph-theory concept of automorphism) can be used to cluster faults into classes and thus simplify the process of finding a test set: tests for these automorphic classes are found by classical methods and then expanded using automorphisms ...
18.It is necessary to generate automorphism group of chemical graph in computer - aided structure elucidation. 在结构解析过程中,自同构群的生成是必须的. 19.Under this assumption, the present paper further gives a characterization for the automorphism group of C( G, S) in terms of the quotient...
It is shown that the automorphism group of a graph with intersection array {15, 12, 1; 1, 2, 15}, {35, 32, 1; 1, 2, 35}, {39, 36, 1; 1, 2, 39}, or {42, 39, 1; 1, 3, 42} (such a graph enters the above-mentioned list) acts intransitively on the set of its ...
Das introduced thegraph $\mathcal{I}n(\mathbb{V})$, called subspace inclusion graph on a finitedimensional vector space $\mathbb{V}$, where the vertex set is the collectionof nontrivial proper subspaces of $\mathbb{V}$ and two vertices are adjacent ifone is properly contained in another...
摘要: We describe the full automorphism group of the power (di)graph of a finite group. As an application, we solve a conjecture proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.关键词:Mathematics - Group Theory 05C25 20B25
The idea is to apply graph theory to study orbit spaces of rings under automorphisms. In this article, we define the notion of a ring of type $n$ for $n\\\geq 0$ and characterize all rings of type zero. We also characterize local rings $(R,M) $ in which either the subset of un...