M. Abreu

activity

20102025

most citedFamilies of Small Regular Graphs of Girth 5

27 citations · 60 across the 22 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

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…

math.CO2011★ 1 cited

On the Ubiquity and Utility of Cyclic Schemes

M. Abreu, M. J. Funk, D. Labbate +1

Let $k, l, m, n$ , and $μ$ be positive integers. A $Z_{μ}$ --{\it scheme of valency} $(k, l)$ and {\it order} $(m, n)$ is a $m \times n$ array $(S_{ij})$ of subsets $S_{ij} \subset…

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

On the Ubiquity and Utility of Cyclic Schemes

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