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We have estimated centrality variation of chemical freeze-out parameters fromyield data at mid-rapidity of $\pi^\pm$, $K^\pm$ and $p$, $\bar{p}$ forcollision energies of RHIC (Relativistic Heavy Ion Collider), Beam Energy Scan(RHIC-BES) program, and LHC (Large Hadron Collider). We have considered asimple hadron resonance gas model and employed a formalism involving conservedcharges ($B, Q, S$) of QCD for parameterization. Along with temperature andthree chemical potentials ($T,\mu_B,\mu_Q,\mu_S$), a strangenessunder-saturation factor ($\gamma_S$) has been used to incorporate the partialequilibration in the strange sector. Our obtained freeze-out temperature doesnot vary much with centrality, whereas chemical potentials and $\gamma_S$ seemto have a significant dependence. The strange hadrons are found to deviate froma complete chemical equilibrium at freeze-out at the peripheral collisions.This deviation appears to be more prominent as the collision energy decreasesat lower RHIC-BES energies. We have also shown that this departure fromequilibrium reduces towards central collisions, and strange particleequilibration may happen after a threshold number of participants in $A$-$A$collision.

Centrality dependence of chemical freeze-out parameters and strangeness equilibration in RHIC and LHC energies