Third case of the Cyclic Coloring Conjecture

@article{Hebdige2015ThirdCO,
  title={Third case of the Cyclic Coloring Conjecture},
  author={Michael Hebdige and Daniel Kr{\'a}l},
  journal={Electron. Notes Discret. Math.},
  year={2015},
  volume={49},
  pages={11-15}
}
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The cyclic chromatic number χc(G) of a 2-connected plane graph G is the minimum number of colors in an assigment of colors to the vertices of G such that, for every face-bounding cycle f of G, the
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In 1969, Ore and Plummer defined an angular coloring as a natural extension of the Four Color Problem: a face coloring of a plane graph where faces meeting even at a vertex must have distinct colors.
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