Geodesic
COMPARING A CAYLEY DIGRAPH WITH ITS REVERSE
Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1 
M. Abas. COMPARING A CAYLEY DIGRAPH WITH ITS REVERSE. Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a4/
@article{AMUC_2000_69_1_a4,
     author = {M. Abas},
     title = {COMPARING {A} {CAYLEY} {DIGRAPH} {WITH} {ITS} {REVERSE}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2000},
     volume = {69},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

A Cayley digraph $G=C(\Gamma,X)$ for a group $\Gamma$ and a generating set $X$ is the digraph with vertex set $V(G)=\Gamma$ and arcs $(g,gx)$ where $g\in\Gamma$ and $x\in X$. The reverse of $C(\Gamma,X)$ is the Cayley digraph $G^-1=C(\Gamma,X^-1)$ where $X^-1=\x^-1; x\in X\$. We are interested in sufficient conditions for a Cayley digraph not to be isomorphic to its reverse and focus on Cayley digraphs of metacyclic groups with small generating sets.