Raphael Steiner - A Note on Graphs of Dichromatic Number 2

dmtcs:5621 - Discrete Mathematics & Theoretical Computer Science, January 5, 2021, vol. 22 no. 4 - https://doi.org/10.23638/DMTCS-22-4-11
A Note on Graphs of Dichromatic Number 2

Authors: Raphael Steiner

    Neumann-Lara and Škrekovski conjectured that every planar digraph is 2-colourable. We show that this conjecture is equivalent to the more general statement that all oriented K_5-minor-free graphs are 2-colourable.


    Volume: vol. 22 no. 4
    Section: Graph Theory
    Published on: January 5, 2021
    Accepted on: November 7, 2020
    Submitted on: July 11, 2019
    Keywords: directed graphs,acyclic colouring,dichromatic number,planar graphs,K5-minor-free graphs,[MATH]Mathematics [math],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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