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Violent multi-wavelength variabilities are observed in gamma-ray-selectedblazars. We present an analysis of long-term light curves for eight brightblazars to explore the co-variation pattern in the gamma-ray and radio bands.We extract their gamma-ray light curves and spectra with data observed by theFermi/LAT since 2008. We find diverse co-variation patterns between thegamma-ray and radio (at 43 GHz) fluxes in these sources. The gamma-ray andradio fluxes of 3C 454.3 and PKS 1633+382 are correlated without any time-lag,suggesting that they are from the same radiation region. Similar correlation isalso observed in 3C 273 and PKS 1222+216, but the radio flux is lag behind thegamma-ray flux approximately ~160 days and ~290 days, respectively. This likelysuggests that their gamma-ray emission regions are located at the upstream oftheir radio cores at 43 GHz. The gamma-ray and radio fluxes of the other fourblazars are not correlated, implying that the gamma-ray and radio emission maybe from different regions in their jets. The gamma-ray light curves of theeight blazars can be decomposed into some long timescale variability componentsand fast spike flares. We propose that they may be attributed to the centralengine activity and the magnetic reconnection process or turbulence in thelocal emission region, respectively.

Diversity of gamma-ray and Radio Variabilities of Bright Blazars and Implications for gamma-ray Emission Location