TITLE: What's the relation between topology and graph theory
QUESTION [54 upvotes]: I read the Wikipedia articles for both topology, graph theory (plus topological graph theory). Does topology encompass also graph theory? Or topology is only about studying shapes while graph theory is about relations and the two meet in topological graph theory?

REPLY [12 votes]: Interesting observation: often both disciplines (graph theory, topology) claim that the famous The Seven Bridges of Königsberg Problem solved by Euler in 1736 [1] is one of the first papers of their  respective discipline. 
So, not so different after all ^^
[1] Euler, Leonhard: Solutio problematis ad geometriam situs pertinentis