On an extremal problem of Fejér
✍ Scribed by Tai-Shing Lau; W.J Studden
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 453 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let r, t 2 2 be integers and c a constant, 0 < c 5 ( r -2 ) / ( r -1). Suppose that G is a &-free graph on n vertices in which any t distinct vertices have at most cn common neighbors. Here an asymptotically best bound is obtained for the maximal number of edges in such graphs. This solves a problem
Let T be a tree such that there is a proper n-coloring c of the vertices of T which, besides a technical condition, is a k b k a k -free, i.e., T contains no subdivision of a path u 1 , . . . , Then T has O(kn) vertices. (The technical condition requires that T contains no subdivision of a properly