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Can some body explain me the following statement about Community Structure in a Graph : Newman and Girvan write: „In a network in which edges fall between vertices without regard for the communities they belong to, we would have : enter image description here

I mean : what is meant by 'without regard for the communities they belong to', since enter image description here here is a community ! itself, so why he said without regard for the communities they belong to. I suggest he should said: 'with regard for the communities they belong to'--> not [without] --<

Am I right ?

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  • $\begingroup$ any suggestion , is my question so hard ? $\endgroup$ – Tandee Holwa Jun 13 '15 at 14:28
  • $\begingroup$ hey,,,, anyone ?? $\endgroup$ – Tandee Holwa Jun 13 '15 at 17:19
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I think that the authors means "without". They wanted to test the modularity measure in networks where there is no community structure, i.e, for random structure of the networks.

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