Good books or lecture notes about logic of graphs.

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Does anyone have a recommendation for a book to use for the self study of logic of graphs?

I am interested in the following topics:

  1. Data compression and graph isomorphism. Logical depth of a graph.
  2. Get efficient algorithms out of FOL expressions
  3. Courcelle's theorem
  4. Machine learning / AI
  5. Computer science (algorithmic) point of view