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<<DiscreteMath`Combinatorica`
gg=FromOrderedPairs[ToUnorderedPairs[CompleteGraph[3]]];
A=Transpose[IncidenceMatrix[ReverseEdges[gg]]-IncidenceMatrix[gg]];
L=Transpose[A].A;
u={a,b,c};
f=-L.u+l u+u^3;
pl={};
For[ll=3,ll>-4,ll=ll-.01,
  ff=f/.l\[Rule]ll;
  ssr=Solve[ff==0 u,VerifySolutions\[Rule]True];
  ss={a,b,c}/.ssr;
  ss=ss//N;
  s=Select[ss,Element[#,Reals]&];
  no=Union[Map[Abs[#[[1]]] &,s]];
  pl=Union[pl,Map[{ll,#} &,no]];
  ]








