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Results tagged with extremal-graph-theory
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user 30800
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
Minimal graphs with a prescribed number of spanning trees
No answer, but a related question:
The number $n$ of spanning trees in a graph with $k+1$ vertices is the determinant of a $k\times k$ matrix with integer entries between $-1$ and $k$.
For given $ …
- 1,083