One-dimensional amino acid sequences and three-dimensional folded poly
peptide chains were modelled as non-directed graphs in which nodes cor
responded to amino acids and arcs represented connections between them
. In the case of folded chains, non-backbone connections were assigned
to amino acid pairs if their distance was lower than a threshold. Two
topological indices, the connectedness number and the effective chain
length were devised to compare folding topologies. Loops created by n
on-backbone connections in the structure graphs were studied by simple
graphical representations, revealing the hierarchy in native protein
structures.