  The Advanced LIGO observatories detected gravitational waves from two binary
black hole mergers during their first observation run (O1). We present a
high-energy neutrino follow-up search for the second gravitational wave event,
GW151226, as well as for gravitational wave candidate LVT151012. We find 2 and
4 neutrino candidates detected by IceCube, and 1 and 0 detected by ANTARES,
within $\pm500$ s around the respective gravitational wave signals, consistent
with the expected background rate. None of these neutrino candidates are found
to be directionally coincident with GW151226 or LVT151012. We use non-detection
to constrain isotropic-equivalent high-energy neutrino emission from GW151226
adopting the GW event's 3D localization, to less than $2\times
10^{51}-2\times10^{54}$ erg.
