Structural Graphs of Fingerprints: A Dynamical Approach

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As an interdisciplinary subject from graph theory, dynamical systems and biometry, we introduce the concept of structural graph of fingerprints. More precisely, we consider the normal forms associated to some categories of fingerprints and construct their structural graph on the Poincaré sphere, where the nodes are defined as being the components of the chain recurrent set corresponding to the underlying dynamical system. Then, we investigate whether these graphs qualify as DNA, in a sense to be specified. As will be seen, this approach has nothing to do with the structural methods used so far in fingerprints classification. It should be stressed, however, that if this approach can be of some use for a primary classification, the present work is born from a pure mathematical curiosity rather than from any biometric or forensic intention.

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