Over the years, it has been generally accepted that the definition of global (or local) indices from LOVIs (Local Vertex Invariants) implies the summation of the contributions of the elements that constitute a given molecule (or graph). However, summation (Minskowski’s first norm (N1) in our specific case) is just one of the many invariants capable of globally characterizing given LOVIs. In this program, we introduce a series of invariants that generalize the traditional method of obtaining global (or local) invariants by summation of the LOVIs. These are classified in four major groups:
1) Norms (or Metrics),
2) Mean Invariants (first statistical moment),
3) Statistical Invariants (highest statistical moments) and
4) “Classical algorithms” Invariants.