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

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What's the full assumption for Laplacian matrix $L=BB^T=\Delta-A$?

Problem When Laplacian matrix $L=BB^T=\Delta-A$? Many definitions I saw do not give clear assumption in the context. Say, undirected or directed, oriented or unoriented, $A_{in}$ or $A_{out}$ or $A$? … The relation between adjacency and incidence matrix is given by the admittance matrix or Laplacian $Q=BB^T=\Delta-A$ EDIT2 1. adjacency matrix unweighted, nomultiple-edges $A$, $N\times N$, noselfloop …
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What's the full assumption for Laplacian matrix $L=BB^T=\Delta-A$?

The matrix $L=\tilde{D}\tilde{D}^\intercal =D−A$ is called the (unnormalized) graph Laplacian of the graph $G$. …
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