Logarithmic convergence of projective planes

• Márton Borbényi ^[1] ; Panna Fekete ^[4] ; Aranka Hrušková ^[2] ; Ander Lamaison ^[3]
  1. [1] Eötvös Loránd University

     Eötvös Loránd University

     Hungría

     
  2. [2] Central European University

     Central European University

     Hungría

     
  3. [3] Masaryk University

     Masaryk University

     Chequia

     
  4. [4] Alfréd Rényi Institute of Mathematics, Budapest, Hungary

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• Localización: Discrete Mathematics Days 2022 / coord. por Luis Felipe Tabera Alonso , 2022, ISBN 978-84-19024-02-2, págs. 54-57
• Idioma: español
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.