On ( k,l )-radius of random graphs
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2
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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.