1. Incidence Coloring—Cold Cases
- Author
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Kardoš František, Maceková Mária, Mockovčiaková Martina, Sopena Éric, and Soták Roman
- Subjects
incidence coloring ,incidence chromatic number ,planar graph ,maximum average degree ,05c15 ,Mathematics ,QA1-939 - Abstract
An incidence in a graph G is a pair (v, e) where v is a vertex of G and e is an edge of G incident to v. Two incidences (v, e) and (u, f) are adjacent if at least one of the following holds: (i) v = u, (ii) e = f, or (iii) edge vu is from the set {e, f}. An incidence coloring of G is a coloring of its incidences assigning distinct colors to adjacent incidences. The minimum number of colors needed for incidence coloring of a graph is called the incidence chromatic number.
- Published
- 2020
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