##  [Graph Laplacian (Combinatorial Laplacian)](/graph-laplacian-combinatorial-laplacian) 

  ##  [Graph Laplacian (Combinatorial Laplacian)](https://natural.quantumdictionary.io/graph-laplacian-combinatorial-laplacian-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A linear operator on functions defined on the vertices of a graph, typically given by L = D − A where D is the diagonal degree matrix and A the adjacency matrix; it encodes discrete diffusion and local smoothness on the graph.