Results 11 to 20 of about 763 (151)
On Haar digraphical representations of groups [PDF]
Discrete Mathematics, 2020 8 ...
Du J. -L., Feng Y. -Q., Spiga P.
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On n-partite digraphical representations of finite groups [PDF]
Journal of Combinatorial Theory, Series A, 2022 9 ...
Du J. -L., Feng Y. -Q., Spiga P.
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Automorphism Groups of Wreath Product Digraphs [PDF]
The Electronic Journal of Combinatorics, 2009 We generalize a classical result of Sabidussi that was improved by Hemminger, to the case of directed color graphs. The original results give a necessary and sufficient condition on two graphs, $C$ and $D$, for the automorphsim group of the wreath product of the graphs, ${\rm Aut}(C\wr D)$ to be the wreath product of the automorphism groups ${\rm Aut}(
Dobson, Edward, Morris, Joy
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Realization of digraphs in Abelian groups and its consequences [PDF]
Journal of Graph Theory, 2021 AbstractLet be a directed graph of order with no component of order less than 3, and let be a finite Abelian group such that or if is large enough with respect to an arbitrarily fixed then . We show that there exists an injective mapping from to the group such that for every connected component of , where 0 is the identity element of ...
Sylwia Cichacz, Zsolt Tuza
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Cayley Digraphs Associated to Arithmetic Groups [PDF]
Graphs and Combinatorics, 2019 We explore a paradigm which ties together seemingly disparate areas in number theory, additive combinatorics, and geometric combinatorics including the classical Waring problem, the Furstenberg-Sárközy theorem on squares in sets of integers with positive density, and the study of triangles (also called $2$-simplices) in finite fields.
David Covert +2 more
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Direct product of automorphism groups of digraphs
Ars Mathematica Contemporanea, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mariusz Grech +3 more
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Reachability relations, transitive digraphs and groups
Ars Mathematica Contemporanea, 2014 In A. Malnic, D. Marusic, N. Seifter, P. Sparl and B. Zgrablic, Reachability relations in digraphs, Europ. J. Combin. 29 (2008), 1566–1581, it was shown that properties of digraphs such as growth, property Z , and number of ends are reflected by the properties of certain reachability relations defined on the vertices of the corresponding digraphs.
Aleksander Malnic +3 more
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Automorphism groups of Cayley digraphs of ${\Bbb Z}_p^3$ [PDF]
The Electronic Journal of Combinatorics, 2009 We calculate the full automorphism group of Cayley digraphs of ${\Bbb Z}_p^3$, $p$ an odd prime, as well as determine the $2$-closed subgroups of $S_m \wr S_p$ with the product action.
Dobson, Edward, Kovács, István
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Journal of Physics: Conference Series, 2020 Abstract In the present paper the class of digraph groups is introduced by analogy with the prominent class of “graph groups”. Digraph groups implicitly present in the previous work by the author on the automorphism groups of graph groups. The structure of transitive digraph groups is described in terms of the Levi decomposition into the
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Isomorphisms of Cayley digraphs of Abelian groups [PDF]
Bulletin of the Australian Mathematical Society, 1998 For a finite group G and a subset S of G with 1 ∉ S, the Cayley graph Cay(G, S) is the digraph with vertex set G such that (x, y) is an arc if and only if yx−1 ∈ S. The Cayley graph Cay(G, S) is called a CI-graph if, for any T ⊂ G, whenever Cay (G, S) ≅ Cay(G, T) there is an element a σ ∈ Aut(G) such that Sσ = T.
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