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I was wondering if anyone knows any good articles or papers or books on graph theory that deals with changing graphs and not just static ones.

So far I've only found qualitative descriptions of developing a dynamic graph theory and no actual derivations.

Particularly I'm wondering about dynamical systems represented as graphs.

Any help would be appreciated and thanks in advanced.

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I would recommend reading "Universal Resilience Patterns in Complex Networks" https://www.nature.com/articles/nature16948 It focuses on network stability as parameters change and trigger bifurcations. If you are interested, I have also written up some notes on this paper and posted them here: https://logancollinsblog.com/2017/11/26/notes-on-universal-resilience-patterns-in-complex-networks-gao-et-al-2016/

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