For i = 1,2 .... ,k, let Gi be a graph with vertex set [n] = {1 .... ,n} containing no Fi as a subgraph. At most how many edges are in G1 t3 -• • U Gk? We shall answer this Turfin-Ramseytype question asymptotically, and pose a number of related problems. Given graphs F1 ..... Fk, write exk(n,F 1 ..
✦ LIBER ✦
The Turán problem for projective geometries
✍ Scribed by Peter Keevash
- Book ID
- 108167141
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 311 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0097-3165
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## Abstract A multigraph is (__k__,__r__)‐dense if every __k__‐set spans at most __r__ edges. What is the maximum number of edges ex~ℕ~(__n__,__k__,__r__) in a (__k__,__r__)‐dense multigraph on __n__ vertices? We determine the maximum possible weight of such graphs for almost all __k__ and __r__ (e
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