Geodesic
Dirichlet Character Difference Graphs
Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 1, pp. 21-28 
M. Budden; N. Calkins; W. N. Hack; J. Lambert; K. Thompson; M. Budden; N. Calkins; W. N. Hack; J. Lambert; K. Thompson. Dirichlet Character Difference Graphs. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 1, pp. 21-28. http://geodesic.mathdoc.fr/item/AMUC_2013_82_1_a2/
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     author = {M. Budden and N. Calkins and W. N. Hack and J. Lambert and K. Thompson and M. Budden and N. Calkins and W. N. Hack and J. Lambert and K. Thompson},
     title = { Dirichlet {Character} {Difference} {Graphs}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {21--28},
     year = {2013},
     volume = {82},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2013_82_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

We define Dirichlet character difference graphs and describe their basic properties, including the enumeration of triangles and edge-disjoint hamiltonian cycles. In the case where the modulus is an odd prime, we exploit the spectral properties of such graphs in order to provide meaningful upper bounds for their diameter.