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3 votes
2 answers
246 views

Topological Complexity $TC$ of two robots moving on number $8$

I have been working on my research as a student at Wilbur Wright College on Topological Complexity. We solved the problem of two robots moving on a circle and letter $T$ using Farber's theorem but ...
3 votes
1 answer
215 views

number of ribbon structures (or punctured surfaces) on a graph

Suppose $G$ is connected undirected graph. Does the calculation of the number of topologically distinct punctured surfaces that can arise from putting a ribbon structure on $G$ exist in the ...
8 votes
1 answer
1k views

Beyond an intro to topological graph theory...

I'm looking to find out what active areas of research there are in topological graph theory, particularly those that interface strongly with other areas of math (say, group theory, algebraic topology, ...