I would be interested in recommendations for topological graph theory texts. I think Gross and Yellen has a great chapter on topological graph theory, and I find Mohar and Thomassen's *Graphs on surfaces* from 2001 a great reference as well.



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> Could you recommend more current references, ideally with focus on open problems / research?
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Reference for topological graph theory (research / problem-oriented)
Maybe this is another useful reference for you, now I found the link:


Ralucca Gera, Stephen Hedetniemi, Craig Larson, Teresa W. Haynes (editors) (2018): *Graph Theory: Favorite Conjectures and Open Problems*


It is actually two volumes, and obviously more recent than the other reference I mentioned. It covers graph theory as a whole and does not focus on topological graph theory only. It is a collection of conjectures and open problems. I would judge it to be clearly at graduate and reserach level, but written in a very "inviting" way and starting from examples.


The reason why I think it could be interesting for you: it is full of research ideas and references. I took an hour or so to leaf through it a few weeks ago and was quite fascinated: many short articles, often starting with a few personal remarks and how the author got interested in a particular field, and then moving very fast to conjectures and open questions in that field. Remarkably, the second volume includes a comprehensive list of 70 conjectures, and closes with 600+ references.


