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Results tagged with laplacian
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user 158328
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 …
- 1,444
7
votes
Accepted
Line graphs called "graph derivatives": any intuition?
I just found the answer to this question in the paper Synthesis and analysis in total variation regularization by Francesco Ortelli and Sara van de Geer.
In the abstract, they write "We give a definit …
- 1,444
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. …
- 1,444