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], Β½ < c ~ 1, whenever A(G) is appropr
Adjacent strong edge colorings and total colorings of regular graphs
β Scribed by ZhongFu Zhang; Douglas R. Woodall; Bing Yao; JingWen Li; XiangEn Chen; Liang Bian
- Book ID
- 107347882
- Publisher
- SP Science China Press
- Year
- 2009
- Tongue
- English
- Weight
- 201 KB
- Volume
- 52
- Category
- Article
- ISSN
- 1674-7283
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π 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
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
## Abstract For __k__β=β1 and __k__β=β2, we prove that the obvious necessary numerical conditions for packing __t__ pairwise edgeβdisjoint __k__βregular subgraphs of specified orders __m__~1~,__m__~2~,β¦ ,__m__~t~ in the complete graph of order __n__ are also sufficient. To do so, we present an edge