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We consider a left-right symmetric SU(4)_c \times SU(2)_L \times SU(2)_R(4-2-2) model with gravity mediated supersymmetry breaking. We find that with4-2-2 compatible non-universal gaugino masses, t-b-\tau Yukawa couplingunification is consistent with neutralino dark matter abundance and withconstraints from collider experiments (except (g-2)_{\mu}). The gluino masslies close to that of the lightest neutralino, so that the gluinoco-annihilation channel plays an important role in determining the neutralinorelic abundance. By relaxing the Yukawa unification constraint we find stau andstop masses as low as 200-220 GeV. We highlight some benchmark points for thesecases with 40 < \tan\beta < 58.

Yukawa Unification and Neutralino Dark Matter in SU(4)_c \times SU(2)_L \times SU(2)_R