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Using the IceCube Neutrino Observatory, we search for high-energy neutrinoemission coincident with compact binary mergers observed by the LIGO and Virgogravitational wave (GW) detectors during their first and second observing runs.We present results from two searches targeting emission coincident with the skylocalization of each gravitational wave event within a 1000 second time windowcentered around the reported merger time. One search uses a model-independentunbinned maximum likelihood analysis, which uses neutrino data from IceCube tosearch for point-like neutrino sources consistent with the sky localization ofGW events. The other uses the Low-Latency Algorithm for Multi-messengerAstrophysics, which incorporates astrophysical priors through a Bayesianframework and includes LIGO-Virgo detector characteristics to determine theassociation between the GW source and the neutrinos. No significant neutrinocoincidence is seen by either search during the first two observing runs of theLIGO-Virgo detectors. We set upper limits on the time-integrated neutrinoemission within the 1000 second window for each of the 11 GW events. Theselimits range from 0.02-0.7 $\mathrm{GeV~cm^{-2}}$. We also set limits on thetotal isotropic equivalent energy, $E_{\mathrm{iso}}$, emitted in high-energyneutrinos by each GW event. These limits range from 1.7 $\times$ 10$^{51}$ -1.8 $\times$ 10$^{55}$ erg. We conclude with an outlook for LIGO-Virgoobserving run O3, during which both analyses are running in real time.

IceCube Search for Neutrinos Coincident with Compact Binary Mergers from LIGO-Virgo's First Gravitational-Wave Transient Catalog