/* Return true iff a clique in L strictly contains c. */ private boolean findSuperClique(List l, VarSet c) { for (Iterator it = l.iterator(); it.hasNext(); ) { VarSet c2 = (VarSet) it.next(); if (c2.containsAll(c)) { return true; } } return false; }
/** Adds edges to graph until it is triangulated. */ private void triangulate(final UndirectedGraph mdl) { UndirectedGraph mdl2 = dupGraph(mdl); ArrayList<Variable> vars = new ArrayList<Variable>(mdl.vertexSet()); Alphabet<Variable> varMap = makeVertexMap(vars); cliques = new ArrayList(); // debug if (logger.isLoggable(Level.FINER)) { logger.finer("Triangulating model: " + mdl); String ret = ""; for (int i = 0; i < vars.size(); i++) { Variable next = (Variable) vars.get(i); ret += next.toString() + "\n"; // " (" + mdl.getIndex(next) + ")\n "; } logger.finer(ret); } while (!vars.isEmpty()) { Variable v = (Variable) pickVertexToRemove(mdl2, vars); logger.finer("Triangulating vertex " + v); VarSet varSet = new BitVarSet(v.getUniverse(), GraphHelper.neighborListOf(mdl2, v)); varSet.add(v); if (!findSuperClique(cliques, varSet)) { cliques.add(varSet); if (logger.isLoggable(Level.FINER)) { logger.finer( " Elim clique " + varSet + " size " + varSet.size() + " weight " + varSet.weight()); } } // must remove V from graph first, because adding the edges // will change the rating of other vertices connectNeighbors(mdl2, v); vars.remove(v); mdl2.removeVertex(v); } if (logger.isLoggable(Level.FINE)) { logger.fine("Triangulation done. Cliques are: "); int totSize = 0, totWeight = 0, maxSize = 0, maxWeight = 0; for (Iterator it = cliques.iterator(); it.hasNext(); ) { VarSet c = (VarSet) it.next(); logger.finer(c.toString()); totSize += c.size(); maxSize = Math.max(c.size(), maxSize); totWeight += c.weight(); maxWeight = Math.max(c.weight(), maxWeight); } double sz = cliques.size(); logger.fine( "Jt created " + sz + " cliques. Size: avg " + (totSize / sz) + " max " + (maxSize) + " Weight: avg " + (totWeight / sz) + " max " + (maxWeight)); } }