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math.CO2025
New upper bounds on the order of mixed cages of girth 6
Gabriela Araujo-Pardo, Lydia Mirabel Mendoza-Cadena
A -mixed cage is a mixed graph of minimum order such that each vertex has in-arcs, out-arcs, edges, and it has girth , and the minimum order for -m…
math.CO2024
On Mixed Cages of Girth 6
Gabriela Araujo-Pardo, Mirabel Mendoza-Cadena
A [z,r;g]-mixed cage is a mixed graph of minimum order such that each vertex has z in-arcs, z out-arcs, r edges, and it has girth g. We present an infinite family of mixed graphs w…