Disconnected Colors in Generalized Gallai-Colorings
✍ Scribed by Shinya Fujita; András Gyárfás; Colton Magnant; Ákos Seress
- Book ID
- 115558805
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 524 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0364-9024
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## Abstract A Gallai‐coloring of a complete graph is an edge coloring such that no triangle is colored with three distinct colors. Gallai‐colorings occur in various contexts such as the theory of partially ordered sets (in Gallai's original paper) or information theory. Gallai‐colorings extend 2‐co
Given a property P, graph G. and k 2 0, a P k-coloring is a function 7r: V(G) + { I , ... , k) such that the subgraph induced by each color class has property P; x ( G : P ) is the least k, for which G has a P k-coloring. We investigate here the theory of P colorings. Generalizations of the wellknow