27 citations · 54 across the 14 of their papers we have counts for
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A Family of Dense Mixed Graphs of Diameter
Gabriela Araujo-Pardo, Camino Balbuena, M. Miller +1
A mixed graph is said to be dense if its order is close to the Moore bound and it is optimal if there is not a mixed graph with the same parameters and bigger order. We present a c…
New families of small regular graphs of girth 5
E. Abajo, G. Araujo-Pardo, C. Balbuena +1
In this paper we are interested in the {\it{Cage Problem}} that consists in constructing regular graphs of given girth and minimum order. We focus on girth , where cages a…
A construction of small (q-1)-regular graphs of girth 8
M. Abreu, G. Araujo-Pardo, C. Balbuena +1
In this note we construct a new infinite family of -regular graphs of girth and order for all prime powers , which are the smallest known so far whe…
A formulation of a (q+1,8)-cage
M. Abreu, G. Araujo-Pardo, C. Balbuena +1
Let be a prime power. In this note we present a formulation for obtaining the known -cages which has allowed us to construct small --graphs for …