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Results tagged with trees
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user 1898
A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.
3
votes
1
answer
167
views
Matrix-tree theorem for inverse matrices
Kirchoff's matrix-tree theorem states that $\det M$ can be written as a sum of products of $w_{ij}$ with a certain combinatorial interpretation as trees, and we all know that the inverse matrix can be …
- 20.2k
1
vote
1
answer
73
views
Determinant formula for a certain parametrized M-matrix
It looks like it might have a nice combinatorial interpretation, since the number of terms matches Cayley's formula for the number of trees on $n+1$ labeled nodes (https://oeis.org/A000272). …
- 20.2k