Molds of Regular Tournaments

Victor Neumann-Lara1, Mika Olsen1
1Instituto de Matemdticas, Universidad Nacional Auténoma de México, México D. F, México

Abstract

We introduce the concept of molds, which together with an appropriate weight function, gives all the information of a regular tournament. We use the molds to give a shorter proof of the characterization of domination graphs than the one given in \([4, 5]\), We also use the molds to give a lower and an upper bound of the dichromatic number for all regular tournaments with the same mold.