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A new method to constrain the cosmological equation of state is proposed byusing combined samples of gamma-ray bursts (GRBs) and supernovae (SNeIa). TheChevallier-Polarski-Linder parameterization is adopted for the equation ofstate in order to find out a realistic approach to achieve thedeceleration/acceleration transition phase of dark energy models. As results,we find that GRBs, calibrated by SNeIa, could be, at least, good distanceindicators capable of discriminating cosmological models with respect to$\Lambda$CDM at high redshift. Besides, GRBs+SNeIa combined redshift-distancediagram puts better in evidence the change of slope around redshift $z\sim 0.5$which is usually addressed as the "signature" of today observed acceleration.This feature could be interpreted, in more standard way, by the red sequence ingalaxy clusters.

Testing Dark Energy models vs $\Lambda$CDM Cosmology by Supernovae and Gamma Ray Bursts