Geodesic
AMALGAMATIONS AND LINK GRAPHS OF CAYLEY GRAPHS
Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2 
J. Tomanova. AMALGAMATIONS AND LINK GRAPHS OF CAYLEY GRAPHS. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a9/
@article{AMUC_1991_60_2_a9,
     author = {J. Tomanova},
     title = {AMALGAMATIONS {AND} {LINK} {GRAPHS} {OF} {CAYLEY} {GRAPHS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1991},
     volume = {60},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

The link of a vertex $v $ in a graph $G $ is the subgraph induced by all vertices adjacent to $v$. If all the links in $G $ are isomorphic to the same graph $L$, then $L $ is called the link graph of $G$. We consider the operation of an amalgamation of graphs. Using the construction of the free product of groups with amalgamated subgroups, we give a sufficient condition for a class of link graphs of Cayley graphs to be closed under amalgamations.