C. Balbuena

activity

19942024

most citedFamilies of Small Regular Graphs of Girth 5

27 citations · 54 across the 14 of their papers we have counts for

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Showing 2011 · math.COShow all

2 papers · 2 filters

math.CO2011★ 2 cited

An explicit formula for obtaining $(q + 1, 8)$ -cages and others small regular graphs of girth 8

M. Abreu, G. Araujo-Pardo, C. Balbuena +1

Let $q$ be a prime power; $(q + 1, 8)$ -cages have been constructed as incidence graphs of a non-degenerate quadric surface in projective 4-space $P (4, q)$ . The first contribution of t…

math.CO2011★ 27 cited

Families of Small Regular Graphs of Girth 5

M. Abreu, G. Araujo-Pardo, C. Balbuena +1

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 $q \geq 23$ performing operations of red…

An explicit formula for obtaining (q+1,8)-cages and others small regular graphs of girth 8

Families of Small Regular Graphs of Girth 5

An explicit formula for obtaining $(q + 1, 8)$ -cages and others small regular graphs of girth 8