## Abstract A natural digraph analog of the graph theoretic concept of “an independent set” is that of “an acyclic set of vertices,” namely a set not spanning a directed cycle. By this token, an analog of the notion of coloring of a graph is that of decomposition of a digraph into acyclic sets. We
✦ LIBER ✦
Acyclic Homomorphisms and Circular Colorings of Digraphs
✍ Scribed by Feder, Tomás; Hell, Pavol; Mohar, Bojan
- Book ID
- 118198890
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 380 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0895-4801
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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 __a′__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __a′__(_