Results 21 to 30 of about 1,092 (193)
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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The automorphism group of the zero-divisor digraph of matrices over an antiring
, 2023 We determine the automorphism group of the zero-divisor digraph of the semiring of matrices over an antinegative commutative semiring with a finite number of zero ...
Gabriel Verret +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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DIGRAPH GROUPS AND RELATED GROUPS [PDF]
, 2022 This thesis investigates finite digraph groups and related groups like the generalization of Johnson and Mennicke groups. Cuno and Williams introduced the term "digraph group" for the first time in [9], 2020.
Cihan, Mehmet Sefa
core
When the arc-colored line digraph of a cayley colored digraph is again a cayley colored digraph [PDF]
, 1992 Let D6(G) be the Cayley colored ügraph of a finite group G generated by A. The arc-colored line digraph of a Cayley colored digraph ie obtained by appropriately coloring the arcs of its line digraph.
Fiol Mora, Maria Lluïsa +2 more
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Digraph Groups Without Leaf Having An Arc Count One Greater Than Their Vertex
Cumhuriyet Science JournalThis paper investigates a particular class of digraph groups that are defined by non-empty balanced presentations. Each relation is expressed in the form R(x,y), where x and y are distinct generators, and R(⋅,⋅) is based on a fixed cyclically reduced ...
Mehmet Sefa Cihan
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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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An iterative procedure for evaluating digraph competitions [PDF]
, 2002 A competition which is based on the results of (partial) pairwise comparisons can be modelled by means of a directed graph. Given initial weights on the nodes in such digraph competitions, we view the measurement of the importance (i.e., the cardinal ...
Borm, P.E.M. +5 more
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