Resumen de Logarithmic convergence of projective planes

Márton Borbényi, Panna Fekete, Aranka Hrušková, Ander Lamaison

• In this paper, we study the so-called log-convergence of graphs defined by Szegedy. Weanswer positively his question of whether the sequence (Gq)∞q of the incidence graphs of finiteprojective planes log-converges and whether the limit coincides with that of a particularrandom graph model. Moreover, we show that the sequence is still convergent if q rangesnot just over primes, but over prime powers.