On ( k,l )-radius of random graphs
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2
M. Horvathova. On ( k,l )-radius of random graphs. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a0/
@article{AMUC_2006_75_2_a0,
     author = {M. Horvathova},
     title = {On ( k,l )-radius of random graphs},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2006},
     volume = {75},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

We introduce the concept of ( k, l )-radius of a graph and prove that for any fixed pair k, l the ( k, l )-radius is equal to $2{k\choose 2}-{l\choose2}$ for almost all graphs. Since for k = 2 and l = 0 the ( k, l )-radius is equal to the diameter, our result is a generalization of the known fact that almost all graphs have diameter two.