On deeply critical oriented cliques

In this work we consider arc criticality in colourings of oriented graphs. We study deeply critical oriented graphs, those graphs for which the removal of any arc results in a decrease of the oriented chromatic number by 2. We prove the existence of deeply critical oriented cliques of every odd orde...

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Veröffentlicht in:	Journal of graph theory 2023-09, Vol.104 (1), p.150-159
Hauptverfasser:	Duffy, Christopher, Pavan, P. D., Sandeep, R. B., Sen, Sagnik
Format:	Artikel
Sprache:	eng
Schlagworte:	critical graphs deeply critical graphs Graphs oriented chromatic number oriented graph
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