Similarity and dissimilarity in posets Academic Article uri icon


  • The relevance of partially ordered sets (or posets) in a wide diversity of contexts in chemistry is emphasized, and the utility of distance functions (or metrics) on such posets is noted. First a notion of "scale similarity" is introduced to make comparisons within certain so-called "scaled" posets, for which there is formulated natural "comparators", which in turn lead to associated distance functions. Beyond taking note of several chemically relevant examples of these "scaled" posets and their consequent associated similarity measures, a second chemically relevant class of so-called "shifted" posets is similarly developed, with examples. Even further extension of some aspects of the current approach is indicated, and finally the multi-posetic character of chemical periodic law is suggested. 1995 J.C. Baltzer AG, Science Publishers.

published proceedings


author list (cited authors)

  • Klein, D. J.

citation count

  • 49

complete list of authors

  • Klein, DJ

publication date

  • September 1995