Strong edge-coloring of planar graphs
✍ Scribed by Hudák, Dávid; Lužar, Borut; Soták, Roman; Škrekovski, Riste
- Book ID
- 122206890
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 434 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
For a graph G(V, E), if a proper k-edge coloring f is satisfied with C(u) # C(V) for UZ) E E(G), where C(u) = {f(~v) 1 UZI E E}, then f is called k-adjacent strong edge coloring of G. is abbreviated k-ASEC, and xbs(G) = min{k 1 k-ASEC of G} is called the adjacent strong edge chromatic number of G. I
Let x'(G), called the strong coloring number of G, denote the minimum number of colors for which there is a proper edge coloring of a graph G in which no two of its vertices is incident to edges colored with the same set of colors. It is shown that Z'~(G) ~< Fcn], ½ < c ~ 1, whenever A(G) is appropr