  We investigate and quantify various measures of bipartite and tripartite
entanglement in the context of two and three flavor neutrino oscillations. The
bipartite entanglement is analogous to the entanglement swapping resulting from
a beam splitter in quantum optics. For the three neutrino systems various
measures of tripartite entanglement are explored. The significant result is
that a monogamy inequality in terms of negativity leads to a residual
entanglement, implying true tripartite entanglement in the three neutrino
system. This leads us to an analogy of the three neutrino state with a
generalized class of W-state in quantum optics.
