A gallai-type problem
✍ Scribed by V.J Baston; F.A Bostock
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 180 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
It is thought that T. Gallai posed the following problem concerning a construction due to G.A. Dirac: suppose that a graph K consists of disjoint subgraphs G and Hand a set of edges joining them. If each of G, H, and K are colour critical graphs, under what circumstances is it then true that the joi
## Abstract As a generalization of matchings, Cunningham and Geelen introduced the notion of path‐matchings. We give a structure theorem for path‐matchings which generalizes the fundamental Gallai–Edmonds structure theorem for matchings. Our proof is purely combinatorial. © 2004 Wiley Periodicals,