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Answer by Qiaochu Yuan for Understanding the properties and use of the...
The Laplacian is a discrete analogue of the Laplacian $\sum \frac{\partial^2 f}{\partial x_i^2}$ in multivariable calculus, and it serves a similar purpose: it measures to what extent a function...
View ArticleAnswer by Aryabhata for Understanding the properties and use of the Laplacian...
Laplacian matrices are important objects in the field of Spectral Graph Theory. Many properties of the graph can be read off easily from the properties of the corresponding Laplacian Matrix. For...
View ArticleUnderstanding the properties and use of the Laplacian matrix (and its norm)
I am reading the wikipedia article on the Laplacian matrix: http://en.wikipedia.org/wiki/Laplacian_matrix I don't understand what is the particular use of it; having the diagonals as the degree and...
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