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It has been widely shown that the cosmological parameters and dark energy canbe constrained by using data from type-Ia supernovae (SNe Ia), the cosmicmicrowave background (CMB) anisotropy, the baryon acoustic oscillation (BAO)peak from Sloan Digital Sky Survey (SDSS), the X-ray gas mass fraction inclusters, and the linear growth rate of perturbations at z=0.15 as obtainedfrom the 2dF Galaxy Redshift Survey. Recently, gamma-ray bursts (GRBs) havealso been argued to be promising standard candles for cosmography. In thispaper, we present constraints on the cosmological parameters and dark energy bycombining a recent GRB sample including 69 events with the other cosmologicalprobes. First, we find that for the LambdaCDM cosmology this combination makesthe constraints stringent and the best fit is close to the flat universe.Second, we fit the flat Cardassian expansion model and find that this model isconsistent with the LambdaCDM cosmology. Third, we present constraints onseveral two-parameter dark energy models and find that these models are alsoconsistent with the LambdaCDM cosmology. Finally, we reconstruct the darkenergy equation-of-state parameter w(z) and the deceleration parameter q(z). Wesee that the acceleration could have started at a redshift fromz_T=0.40_{-0.08}^{+0.14} to z_T=0.65_{-0.05}^{+0.10}. This difference in thetransition redshift is due to different dark energy models that we adopt. Themost stringent constraint on w(z) lies in the redshift range z\sim 0.3-0.6.

Measuring Dark Energy with Gamma-Ray Bursts and Other Cosmological Probes