void _RemoveVertexFromDegList(ColorVerticesContext *context, graphP theGraph, int v, int deg)
{
	if (deg > 0)
	{
		context->degListHeads[deg] = LCDelete(context->degLists, context->degListHeads[deg], v);
	    context->numVerticesToReduce--;
	}
}
/********************************************************************
 _K33Search_MergeVertex()

 Overload of merge vertex that does basic behavior but also removes
 the DFS child associated with R from the separatedDFSChildList of W.
 ********************************************************************/
void _K33Search_MergeVertex(graphP theGraph, int W, int WPrevLink, int R)
{
    K33SearchContext *context = NULL;
    gp_FindExtension(theGraph, K33SEARCH_ID, (void *)&context);

    if (context != NULL)
    {
        if (theGraph->embedFlags == EMBEDFLAGS_SEARCHFORK33)
        {
            int theList = context->VI[W].separatedDFSChildList;
            theList = LCDelete(context->separatedDFSChildLists, theList, gp_GetDFSChildFromRoot(theGraph, R));
            context->VI[W].separatedDFSChildList = theList;
        }

        context->functions.fpMergeVertex(theGraph, W, WPrevLink, R);
    }
}