A recursive graph is a graph whose vertex and edge sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively determine the neighbors of a vertex. Both of these have been studied in the literature. We consider an intermediary notion:
On chromatic number of finite set-systems
✍ Scribed by L. Lovász
- Publisher
- Akadmiai Kiad
- Year
- 1968
- Tongue
- English
- Weight
- 555 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract For a finite projective plane $\Pi$, let $\bar {\chi} (\Pi)$ denote the maximum number of classes in a partition of the point set, such that each line has at least two points in the same partition class. We prove that the best possible general estimate in terms of the order of projectiv
Geometric properties are used to determine the chromatic number of AG(4, 3) and to derive some important facts on the chromatic number of PG(n, 2). It is also shown that a 4-chromatic STS(v) exists for every admissible order v ≥ 21.
We wrote many papers on these subjects, some in collaboration with Galvin, Rado, Shelah and Szemer6di, and posed many problems some of which turned out to be undecidable. In this survey we state some old and new solved and unsolved problems. Nous avons 6crit beaucoup d'articles, certains en collabo