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<div>:: <span class="kw">deftheorem </span>   defines <a href="glib_002.html#V5" title="GLIB_002:attr.5">cut-vertex</a> <a onclick="hs(this)" href="javascript:()">GLIB_002:def 11 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</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/> ( <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="b1">G</font> <a href="glib_002.html#K5" title="GLIB_002:func.5">.numComponents()</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">G2</font> <a href="glib_002.html#K5" title="GLIB_002:func.5">.numComponents()</a>  );<br/></span></div>
