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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.

2 votes

How to find central vertex in a graph?

I am not sure your definition of centrality is the most useful one; in what's called "network science", the study of large-scale graphs, I think some measure of centrality which takes an average rathe …
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10 votes
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The diameter of the Erdös component of the collaboration graph

There is a very large literature on this, written by people doing "network science". One of the names you might want to look up is that of Mark Newman, see for example his papers The structure of scie …
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