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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: GLIB_002:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">v</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G</font> holds <br/> (  not <font color="Olive" title="b2">v</font> is  <a href="glib_002.html#V5" title="GLIB_002:attr.5">cut-vertex</a>  iff  for <font color="Olive" title="b3">G2</font> being   <a href="glib_000.html#NM6" title="GLIB_000:NM.6">removeVertex</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">v</font> holds  <font color="Olive" title="b3">G2</font> <a href="glib_002.html#K4" title="GLIB_002:func.4">.numComponents()</a>  <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b1">G</font> <a href="glib_002.html#K4" title="GLIB_002:func.4">.numComponents()</a>  ) <span class="kw">by</span> <span class="lab"><a class="txt" href="glib_002.html#E30"><span class="lab"><font color="Green" title="E25">Lm19</font></span></a></span>;<br/></div></div>
