Now showing items 1-2 of 2

  • A construction of Small (q-1)-Regular Graphs of Girth 8 

    Abreu, Marien; Araujo Pardo, Gabriela; Balbuena Martínez, Maria Camino Teófila; Labbate, D. (2015-04-21)
    Article
    Open Access
    In this note we construct a new infinite family of (q - 1)-regular graphs of girth 8 and order 2q(q - 1)(2) for all prime powers q >= 16, which are the smallest known so far whenever q - 1 is not a prime power or a prime ...
  • Small regular graphs of girth 7 

    Abreu, Marien; Araujo Pardo, Gabriela; Balbuena Martínez, Maria Camino Teófila; Labbate, D.; Salas Salvado, Jordi (2015-07-01)
    Article
    Open Access
    In this paper, we construct new infinite families of regular graphs of girth 7 of smallest order known so far. Our constructions are based on combinatorial and geometric properties of (q + 1, 8)-cages, for q a prime power. ...