Considering only the ways they are connected, anything that can be said about a given node can be said about every other node vs. not so.
Considering only the ways they are connected, anything that can be said about a given vertex can be said about every other vertex vs. not so.
Anything that can be said about a given vertex can be said about every other vertex vs. not so.
No vertex can be distinguished from any other based on the edge connections between vertices vs. not so.
No vertex can be distinguished from any other based on the connections between vertices and edges vs. not so.
https://en.wikipedia.org/wiki/Vertex-transitive_graph
No vertex can be distinguished from any other based on the vertices and edges surrounding it vs. not so.
Leo Crabbe