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Graph theoretical questions with a topological flavour. For example, graphs on surfaces, spatial embeddings, and geometric graphs. Use the graph-drawing tag for questions specific to graph drawing (e.g. crossing numbers).

2 votes

genus of a finite simple undirected graph

I think this is false for orientable genus, which I assume is the case you are interested in. Miller showed that the Euler genus is additive under edge algamation, therefore, if you take an edge algam …
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