12It has been acknowledged that graph-theoretical coefficients computed from the 13 adjacency matrix of cerebral resting-state functional connectivity (RSFC) represent 14aging of the brain and its plasticity facilitating cognitive reserve. In particular, global 15 efficiency (GE) has been recognized as a crucial graph index for age-dependent RSFC. 16Using the dataset of the Nathan Kline Institute-Rockland Sample [NKI-RS], we found 17 that the regions of the brain in which GE values decay with age were located in the 18 subcortical zone and the cerebellum, whereas an opposite relationship was found in 19 many frontal and parietal regions. Based on this systematic tendency, a new coefficient 20 was proposed that corrects GE, referred to as biased GE (BGE); BGE is calculated by 21 changing the sign of the weight between the superior and the inferior parts of the brain 22 before separately averaging the respective sign groups of area-specific corrected GE 23 values, to influence the raw global network GE. The BGE showed a significant negative 24 correlation with age, irrespective of the scan condition, and strong consistency as an 25 information source of a subject's identity. We propose that this new index could play an 26 important role in the clinical context of preventive medicine and the maintenance of 27 healthy brains. 28