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A note on total colourings of digraphs
Authors:Ma?gorzata Zwonek
Affiliation:Wydzia? Matematyki Stosowanej, Akademia Górniczo-Hutnicza, al. Mickiewicza 30, 30-059 Kraków, Poland
Abstract:
In the paper two different arc-colourings and two associated with the total colourings of digraphs are considered. In one of these colourings we show that the problem of calculating the total chromatic index reduces to that of calculating the chromatic number of the underlying graph. In the other colouring we find the total chromatic indices of complete symmetric digraphs and tournaments.
Keywords:Total colourings of digraphs   Complete digraphs   Tournaments
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