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Fig. 1

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Current limits on the quantum gravity energy scale available in the literature from extragalactic sources: TeV blazars (red triangles: Mkn 421, Biller et al. 1999; Mkn 501, MAGIC Collaboration et al. 2008; PKS 2155-304, Aharonian et al. 2008; H.E.S.S. Collaboration et al. 2011), single GRBs (magenta points: S-GRB 051221A, Rodríguez Martínez et al. 2006; L-GRB 080916C, Abdo et al. 2009b; S-GRB 090510, Abdo et al. 2009a; Ghirlanda et al. 2010; Vasileiou et al. 2013; L-GRB 130427A, Amelino-Camelia et al. 2013) and samples of L-GRBs (blue squares, Bolmont et al. 2008; Ellis et al. 2008), compared to the result obtained in the present work.

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