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We investigate the effect of a first-order electroweak phase transition(FOEWPT), which is one of the prerequisites for electroweak baryogenesis, onthe thermal relic abundance of the dark matter (DM) that freezes out before thephase transition occurs in the complex singlet scalar extended $Z_3$-invarianttype-II seesaw model that can simultaneously provide a DM candidate, explainthe non-vanishing neutrino masses and the baryon asymmetry of the Universe.Such a phase transition around the electroweak scale leaves an impact on therelic density due to the release of entropy, particularly for a TeV-scale DM.We thus concentrate on the region of parameter space of the said model whichfavors an FOEWPT in the early Universe and for which the DM is heavy such thatits freeze-out temperature turns out to be larger than the phase transitiontemperature. We further study the dependencies of the dilution factor of the DMrelic density on the model parameters, the nucleation temperature, the strengthand the duration of the phase transition. Such a dilution might retrieve someof the regions of parameter space that were previously ruled out by themeasured value of the DM relic density and/or the latest constraints from theDM direct-detection experiments. Furthermore, a direct connection is drawnbetween the dilution factor and the generation of stochastic gravitationalwaves as a result of an FOEWPT.

Dilution of Dark Matter Relic abundance due to First Order Electroweak Phase Transition in the singlet scalar extended type-II seesaw model