## 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
A Turán type problem for interval graphs
✍ Scribed by Harvey Abbott; Meir Katchalski
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 313 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
We consider the following analogue of a problem of Turin for interval graphs: Let c = c(n, rn) be the largest integer such that any interval graph with n vertices and at least m edges contains a complete subgraph on c vertices. We determine the value of c(n, m) explicitly.
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