r-Strong edge colorings of graphs
โ Scribed by S. Akbari; H. Bidkhori; N. Nosrati
- Book ID
- 108113530
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 196 KB
- Volume
- 306
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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], ยฝ < c ~ 1, whenever A(G) is appropr
We define the incidence coloring number of a graph and bound it in terms of the maximum degree. The incidence coloring number turns out to be the strong chromatic index of an associated bipartite graph. We improve a bound for the strong chromatic index of bipartite graphs all of whose cycle lengths
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