Intuition of the relationship between laplacian matrix, adjacency matrix and degree matrix

Question

I was studying graph theory and came across this tutorial. In page 13 it said

The Laplacian matrix $L$ is equal to $D-A$, where $D$ is the degree matrix and $A$ is the adjacency matrix. I am having a hard time to understand the intuition of how people arrive with $L = D-A$ at the first place. Can someone please explain it to me?

Answer 1

Below is a link that answer about intuition of Laplacian matrix.

https://www.quora.com/Whats-the-intuition-behind-a-Laplacian-matrix-Im-not-so-much-interested-in-mathematical-details-or-technical-applications-Im-trying-to-grasp-what-a-laplacian-matrix-actually-represents-and-what-aspects-of-a-graph-it-makes-accessible