  For high energy cosmic neutrinos Athar, Jezabek, and Yasuda (AJY) have
recently shown that the existing data on neutrino oscillations suggests that
cosmic neutrino flux at the AGN/GRB source, F(nu_e):F(nu_mu):F(nu_tau) approx
1:2:0, oscillates to F(nu_e):F(nu_mu):F(nu_tau) approx 1:1:1. These results can
be confirmed at AMANDA, Baikal, ANTARES and NESTOR, and other neutrino
detectors with a good flavor resolution. Here, we re-derive the AJY result from
quasi bi-maximal mixing, and show that observation of
F(nu_e):F(nu_mu):F(nu_tau) approx 1:1:1 does not necessarily establish cosmic
neutrino flux at the AGN/GRB source to be F(nu_e):F(nu_mu):F(nu_tau) approx
1:2:0. We also note that if the length scale for the quantum-gravity induced
de-coherence for astrophysical neutrinos is of the order of a Mpc, then
independent of the MNS matrix, the Liu-Hu-Ge (LHG) mechanism would lead to flux
equalization for the cosmic/astrophysical neutrinos.
