A cyclic coloring of a plane graph is a coloring of its vertices such that any two distinct vertices incident with the same face receive distinct colors. The ...
In an ℓ -facial coloring, we demand that any two different vertices joined by a facial walk of length at most ℓ receive distinct colors. The notion coincides ...
The concept of facial colorings extends the well-known concept of cyclic colorings. We prove that colors suffice for an l-facial coloring of a plane graph. For ...
Cyclic, diagonal and facial colorings - a missing case | Masaryk ...
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KRÁĽ, Daniel, T MADARAS and R SKREKOVSKI. Cyclic, diagonal and facial colorings - a missing case. European Journal of Combinatorics. LONDON: ACADEMIC PRESS LTD ...
An l-facial coloring of a plane graph is a vertex coloring such that any two different vertices joined by a facial walk of length at most l receive distinct ...
Combin. 26 (2005) 473–490], we established that every planar graph has a coloring with eight colors such that no two vertices joined by a facial walk of length ...
Jul 27, 2022 · The cyclic coloring and the ℓ-facial vertex coloring received a lot of attention, but there are still many open problems regarding these two ...
A cyclic coloring of an embedded graph is a coloring of the vertices of the graph, such that if two vertices are incident with a common face, they receive ...
A cyclic coloring of a plane graph is a vertex coloring such that any two vertices incident with the same face receive distinct colors. This type of coloring ...