A convergent series is a mathematical series in which the sequence of partial sums converges to 1. A divergent series is just the opposite — the sums do not meet a finite limit.

Annals of Mathematics, Second Series, Vol. 176, No. 1 (July, 2012), pp. 151-219 (69 pages) We consider sequences of graphs (G n ) and define various notions of convergence related to these sequences ...