Laplacian Matrix - As A Matrix Representation of The Negative Discrete Laplace Operator

As A Matrix Representation of The Negative Discrete Laplace Operator

The Laplacian matrix can be interpreted as a matrix representation of a particular case of the negative discrete Laplace operator. Such an interpretation allows one, e.g., to generalise the Laplacian matrix to the case of graphs with an infinite number of vertices and edges, leading to a Laplacian matrix of an infinite size.

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