Connectome spectrum electromagnetic tomography (CSET) combines diffusion MRI-derived structural connectivity data with well-established graph signal processing tools to solve the M/EEG inverse problem. Using simulated EEG signals from fMRI responses, and two EEG datasets on visual-evoked potentials, we provide evidence supporting that (i) CSET captures realistic neurophysiological patterns with better accuracy than state-of-the-art methods, (ii) CSET can reconstruct brain responses more accurately and with more robustness to intrinsic noise in the EEG signal. These results demonstrate that CSET offers high spatio-temporal accuracy, enabling neuroscientists to extend their research beyond the current limitations of low sampling frequency in functional MRI and the poor spatial resolution of M/EEG.|Connectome spectrum electromagnetic tomography (CSET) presents a method to reconstruct high-spatial resolution brain source-networks, leveraging diffusion MRI and graph signal processing tools. This study evidences CSET's superior accuracy and robustness against intrinsic EEG noise, promising a revolution in neuroscience research by overcoming the limitations of current functional MRI and M/EEG technologies. image