Geodesic
MINIMAL SIZE OF A GRAPH WITH DIAMETER 2 AND GIVEN MAXIMAL DEGREE, II
Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 2 
S. Znam. MINIMAL SIZE OF A GRAPH WITH DIAMETER 2 AND GIVEN MAXIMAL DEGREE, II. Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1992_61_2_a6/
@article{AMUC_1992_61_2_a6,
     author = {S. Znam},
     title = {MINIMAL {SIZE} {OF} {A} {GRAPH} {WITH} {DIAMETER} 2 {AND} {GIVEN} {MAXIMAL} {DEGREE,} {II}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1992},
     volume = {61},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1992_61_2_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let $F_2(n, \pn)$ be the minimal size of a graph on $n$ vertices with diameter 2 and maximal degree \pn. The asymptotic behaviour of $F_2(n, \pn)$ is considered for $2/5.