/// <summary>
        /// Makes an array containing the morgan numbers of the atoms of
        /// atomContainer. These number are the extended connectivity values and not
        /// the lexicographic smallest labelling on the graph.
        /// </summary>
        /// <param name="molecule">the molecule to analyse.</param>
        /// <returns>The morgan numbers value.</returns>
        public static long[] GetMorganNumbers(IAtomContainer molecule)
        {
            int order = molecule.Atoms.Count;

            long[] currentInvariants  = new long[order];
            long[] previousInvariants = new long[order];

            int[][] graph  = Arrays.CreateJagged <int>(order, InitialDegree);
            int[]   degree = new int[order];

            // which atoms are the non-hydrogens.
            int[] nonHydrogens = new int[order];

            for (int v = 0; v < order; v++)
            {
                nonHydrogens[v] = molecule.Atoms[v].AtomicNumber.Equals(AtomicNumbers.H) ? 0 : 1;
            }

            // build the graph and initialise the current connectivity
            // value to the number of connected non-hydrogens
            foreach (var bond in molecule.Bonds)
            {
                int u = molecule.Atoms.IndexOf(bond.Begin);
                int v = molecule.Atoms.IndexOf(bond.End);
                graph[u] = Ints.EnsureCapacity(graph[u], degree[u] + 1, InitialDegree);
                graph[v] = Ints.EnsureCapacity(graph[v], degree[v] + 1, InitialDegree);
                graph[u][degree[u]++] = v;
                graph[v][degree[v]++] = u;
                currentInvariants[u] += nonHydrogens[v];
                currentInvariants[v] += nonHydrogens[u];
            }

            // iteratively sum the connectivity values for each vertex
            for (int i = 0; i < order; i++)
            {
                Array.Copy(currentInvariants, 0, previousInvariants, 0, order);
                for (int u = 0; u < order; u++)
                {
                    currentInvariants[u] = 0;

                    // for each of the vertices adjacent to <paramref name="u"/> sum their
                    // previous connectivity value
                    int[] neighbors = graph[u];
                    for (int j = 0; j < degree[u]; j++)
                    {
                        int v = neighbors[j];
                        currentInvariants[u] += previousInvariants[v] * nonHydrogens[v];
                    }
                }
            }
            return(currentInvariants);
        }