## Abstract In this article, a theorem is proved that generalizes several existing amalgamation results in various ways. The main aim is to disentangle a given edgeβcolored amalgamated graph so that the result is a graph in which the edges are shared out among the vertices in ways that are fair wit
Balanced edge colorings
β Scribed by P.N. Balister; A. Kostochka; Hao Li; R.H. Schelp
- Book ID
- 108395407
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 309 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An edge-coloring is called vertex-distinguishing if every two distinct vertices are incident to different sets of colored edges. The minimum number of colors required for a vertex-distinguishing proper edge-coloring of a simple graph G is denoted by Ο s (G). A simple count shows that Ο s (G) β₯ max{(
## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2βcolored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __aβ²__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __aβ²__(_
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