Extensions of Gallai–Ramsey results
Document Type
Article
Publication Date
8-2012
Publication Title
Journal of Graph Theory
DOI
10.1002/jgt.20622
ISSN
1097-0118
Abstract
Consider the graph consisting of a triangle with a pendant edge. We describe the structure of rainbow -free edge colorings of a complete graph and provide some corresponding Gallai–Ramsey results. In particular, we extend a result of Gallai to find a partition of the vertices of a rainbow -free colored complete graph with a limited number of colors between the parts. We also extend some Gallai–Ramsey results of Chung and Graham, Faudree et al. and Gyárfás et al.
Recommended Citation
Fujita, Shinya, Colton Magnant.
2012.
"Extensions of Gallai–Ramsey results."
Journal of Graph Theory, 70 (4): 404-426.
doi: 10.1002/jgt.20622
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/107
