09.08.2015 Views

A Random Walk Proof of Matrix Tree Theorem

A Random Walk Proof of Matrix Tree Theorem

A Random Walk Proof of Matrix Tree Theorem

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

The Graph Laplacian <strong>Matrix</strong>Recall that the graph Laplacian L is the matrix L = D −A, where D is the degreematrix and A is the adjacency matrix.y 1 y 5y 4y 3 y 2y 6L =y 1 y 2 y 3 y 4 y 5 y 6⎡y 1 3 0 −1 −1 −1 0y 2 0 2 0 −1 0 −1y 3 −1 0 3 −1 0 −1y 4 −1 −1 −1 4 −1 0⎢y 5 ⎣ −1 0 0 −1 2 0y 6 0 −1 −1 0 0 2⎤⎥⎦3

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!