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    $\begingroup$ So, you only expect to remove vertices, as opposed to adding them? $\endgroup$ Commented Jun 4, 2016 at 18:25
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    $\begingroup$ Once there was GraphEdit I don't know if it still works in later versions: reference.wolfram.com/language/GraphUtilities/ref/… $\endgroup$ Commented Jun 4, 2016 at 18:27
  • $\begingroup$ yes, exactly @J.M. $\endgroup$ Commented Jun 4, 2016 at 18:28
  • $\begingroup$ @mattiav27 Powerful undocumental function!I'm looking forward to you make it as an answer. :) $\endgroup$ Commented Jun 5, 2016 at 0:39
  • $\begingroup$ This is old but maybe can help: mathematica.stackexchange.com/q/31014/5478 $\endgroup$ Commented Jun 5, 2016 at 7:31