A Random Walk Proof of Matrix Tree Theorem
A Random Walk Proof of Matrix Tree Theorem
A Random Walk Proof of Matrix Tree Theorem
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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