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Balanced edge colorings

✍ 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

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πŸ“œ SIMILAR VOLUMES


Multiply balanced edge colorings of mult
✍ M. A. Bahmanian; C. A. Rodger πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 259 KB

## 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 edge‐colored 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

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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{(

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## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2‐colored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __aβ€²__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __aβ€²__(_

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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