The control group exhibited the most well-correlated structural network, whereas the A−T−&CI (amyloid negative, tau negative, cognitive impairment) group and the Alzheimer’s disease groups with biomarker categories indicating only amyloid pathology (A+T−, amyloid positive, tau negative) or both amyloid and tau pathology (A+T+, amyloid positive, tau positive) demonstrated distinct correlation patterns, though these were weaker compared with the control group. This evidence concerns the gene MAPT and Cognitive impairment.