  One- and two-zero textures for the flavor neutrino mass matrix have been
successful in explaining mixing in the neutrino sector. Conservatively, six
cases of one-zero textures and seven cases of two-zero textures are compatible
with observations. We show that one case may be the most natural in the one-
and two-zero textures schemes if tiny neutrino masses are generated by the
type-II seesaw mechanism in triplet Higgs models.
