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The Laplacian matrix is the representation of a graph in matrix form.

7 votes
2 answers
611 views

Line graphs called "graph derivatives": any intuition?

Short version: in several papers, line graphs (and closely related graphs) are called graph derivatives or derived graphs; is there any intuition for such terminologies, in connection with the classic …
10 votes
2 answers
1k views

Differentiation of functions over graphs

The most classical probably is the graph Laplacian $\mathbf{L} = \mathbf{D}-\mathbf{A}$. … Several variants of this Laplacian operator exist. …