Families of small regular graphs of girth 5

نویسندگان

  • Marien Abreu
  • Gabriela Araujo-Pardo
  • Camino Balbuena
  • Domenico Labbate
چکیده

In this paper we obtain (q + 3)–regular graphs of girth 5 with fewer vertices than previously known ones for q = 13, 17, 19 and for any prime q ≥ 23 performing operations of reductions and amalgams on the Levi graph Bq of an elliptic semiplane of type C. We also obtain a 13–regular graph of girth 5 on 236 vertices from B11 using the same technique.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 312  شماره 

صفحات  -

تاریخ انتشار 2012