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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

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Name the class of graphs G s.t. every two graphs that can be created by removing one edge fr...

Is there a name for the class of finite graphs $G$ with the following property? Every two graphs that can be created by removing one edge from $G$ are isomorphic. (Edited to add the word "finite." …