Strong edge-coloring for cubic Halin graphs
✍ Scribed by Gerard Jennhwa Chang; Daphne Der-Fen Liu
- Book ID
- 113567578
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 397 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
A complete cubic Halin graph is a cubic Halin graph whose characteristic tree is a complete cubic tree, in which all leaves are at the same distance from the root vertex. In this work, we determine the strong chromatic index of the complete cubic Halin graph.
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
An __acyclic edge‐coloring__ of a graph is a proper edge‐coloring such that the subgraph induced by the edges of any two colors is acyclic. The __acyclic chromatic index__ of a graph __G__ is the smallest number of colors in an acyclic edge‐coloring of __G__. We prove that the acyclic chromatic inde
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