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I usually come across the eigenvalues of adjacency matrix or laplace matrix of a network. I know what their definitions are and how to compute them but I am unable to understand them intuitively what they actually stand for.

Can someone give some interpretation of eigenvalue or eigenvectors in a network and it's relation with mixing time of random walker in the network. I am facing trouble understanding the interpretation of these commonly used terms.

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    Have you read [this question](http://math.stackexchange.com/q/26662/301977)? – 2017-02-25
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    @polfosol Yes, but I am looking for some interpretation for networks. – 2017-02-25

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