Results 91 to 100 of about 1,092 (193)

A Classification of DCI(CI)-Subsets for Cyclic Group of Odd Prime Power Order

open access: yes, 2000
Let Zn be a cyclic group of order n and C(Zn, S) the circulant digraph of Zn with respect to S⊆Zn\{o}. S is called a DCI-subset of Zn if, for any circulant digraph C(Zn, T), C(Zn, S)≅C(Zn, T) implies that S and T are conjugate in Aut(Zn), the ...
Meng, Jixiang, Huang, Qiongxiang
core   +1 more source

When the arc-colored line digraph of a cayley colored digraph is again a cayley colored digraph

open access: yes
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
core  

Digraph Algebras over Discrete Pre-ordered Groups [PDF]

open access: yes, 2013
This thesis consists of studies in the separate fields of operator algebras and non-associative algebras. Two natural operator algebra structures, A ⊗_max B and A ⊗_min B, exist on the tensor product of two given unital operator algebras A and B. Because
Chan, Kai-Cheong
core  

Group inverses of matrices with path graphs

open access: yes, 2008
A simple formula for the group inverse of a 2 × 2 block matrix with a bipartite digraph is given in terms of the block matrices. This formula is used to give a graph-theoretic description of the group inverse of an irreducible tridiagonal matrix of odd ...
Catral, Minerva   +3 more
core   +1 more source

On Cayley line digraphs

open access: yes, 1995
Given a colouring Δ of a d-regular digraph G and a colouring Π of the symmetric complete digraph on d vertices with loops, the uniformly induced colouring LΠΔ of the line digraph LG is defined.
Serra, O.   +3 more
core   +1 more source

Digraphs Admitting Sharply Edge-transitive Automorphism Groups

open access: yesEuropean Journal of Combinatorics, 1987
A permutation group G on a set X is a sharply edge-transitive group (SETG) if there exists a directed graph (X,R) such that \(G\leq Aut(X,R)\) and G acts as a regular permutation group on R. Let \(K^ h_ m\) denote the directed graph whose vertex set is partitioned into h disjoint m-sets and any two vertices in distinct m-sets are joined in both ...
openaire   +2 more sources

Infinite highly arc transitive digraphs and universal covering digraphs

open access: yes, 1993
A digraph (that is a directed graph) is said to be highly arc transitive if its automorphism group is transitive on the set of s-arcs for each s≥0. Several new constructions are given of infinite highly arc transitive digraphs.
Praeger, Cheryl E.   +2 more
core   +1 more source

ℤ_3^8 is not a CI-group

open access: yes
Open access article. Creative Commons Attribution 4.0 International license (CC BY 4.0) appliesA Cayley graph Cay(G, S) has the CI (Cayley Isomorphism) property if for every isomorphic graph Cay(G, T), there is a group automorphism α of G such that Sα = 
Morris, Joy
core   +1 more source

Games with a Local Permission Structure: Separation of Authority and Value Generation

open access: yes, 2014
It is known that peer group games are a special class of games with a permission structure. However, peer group games are also a special class of (weighted) digraph games.
van den Brink, J.R.; id_orcid   +2 more
core   +1 more source

Digraphs from Endomorphisms of Finite Cyclic Groups

open access: yes, 2010
We associate each endomorphism of a finite cyclic group with a digraph and study many properties of this digraph, including its adjacent matrix and automorphism group.
openaire   +3 more sources

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