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Results tagged with extremal-graph-theory
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user 4558
Study of graphs satisfying a property that are maximal or minimal with respect to some parameter. A classic example is Turán's Theorem, which exactly characterizes the densest graphs on $n$ vertices without a $K_t$ subgraph.
4
votes
2
answers
1k
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Maximum number of edges $f(n,k)$ in a graph on $n$ vertices with no $k$-core?
The $k$-core of a finite graph is defined as follows. Delete all vertices of degree $< k$ and repeat until there are no such vertices left. If there is a nonempty subgraph remaining, necessarily of …
- 7,857
9
votes
1
answer
562
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What is the state of the art for the Turán number of $K_{4,4}$?
In Chung and Graham's "Erdős on Graphs: His legacy of unsolved problems," they discuss several open problems concerning Turán numbers for bipartite graphs.
There is a construction which gives graphs …
- 7,857