  In the nuclear f_7/2 shell, the nucleon-nucleon interaction can be
represented by the eight values E(J)=<(f^2_{7/2})^J |V| (f^2_{7/2})^J>,
J=0,1,...,7, where for even J the isospin is 1, and for odd J it is 0. If we
set the T=0 (odd J) two-body matrix elements to 0 (or to a constant), we find
several degeneracies which we attempt to explain in this work. We also give
more detailed expressions than previously for the energies of the states in
question. New methods are used to explain degeneracies that are found in {45}Ti
(I=25/2- and 27/2-), {46}V (I=12^+_1 and 13^+_1, as well as I=13^+_2 and 15+),
and {47}V (I=29/2- and 31/2-).
