Families of Small Regular Graphs of Girth 5

Details Families of Small Regular Graphs of Girth 5 Families of Small Regular Graphs of Girth 5

2011-11-14

arxiv.org/abs/1111.3277v1

Mathematics

Combinatorics

Scientific paper

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 $q \ge
23$ performing operations of reductions and amalgams on the Levi graph $B_q$ of
an elliptic semiplane of type ${\cal C}$. We also obtain a 13-regular graph of
girth 5 on 236 vertices from $B_{11}$ using the same technique.

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