¹Universidad de Oriente, Cumaná, Venezuela. Email: britodaniel@cantv.net
²Universidad Central de Venezuela, Caracas, Venezuela. Email: oscarordaz55@gmail.com
³Universidad Simón Bolívar, Caracas, Venezuela. Email: mtvarela@usb.ve

We describe several conditions on the minimum number of arcs ensuring that any two vertices in a strong oriented graph are joining by a path of length at most a given k, or ensuring that they are contained in a common cycle.

Key words: Weak diameter, 2-Cyclic, Oriented graph.

Damos varias condiciones sobre el número mínimo de arcos que implican la existencia, para todo par de vértices en un digrafo antisimétrico fuertemente conexo de un camino de longitud a lo más un k dado, que los une o de un circuito que los contiene.

Palabras clave: Diamétro débil, 2-ciclíco, digrafo antisimétrico.

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