The Collaborative International Dictionary of English v.0.48:

graphology \gra*phol"o*gy\ (gr[.a]*f[o^]l"[-o]*j[y^]), n. [Gr.
   gra`fein to write + -logy: cf. F. graphologie.]
   1. The art of judging of a person's character, disposition,
      and aptitude from his handwriting; called graphoanalysis
      by its practitioners. Though its practitioners consider it
      a science, it is widely considered a pseudoscience, as is
      astrology.
      [1913 Webster +PJC]

   2. (Math.) The system or notation used in dealing with
      graphs.
      [Webster 1913 Suppl.]

   3. (Linguistics) The study of systems of writing of
      languages; also called grammatology.
      [PJC]