Graph theory provides popular tools for studying complex brain networks. Alzheimer's disease (AD) is the most common form of wits, which as an incurable, progressive and neurological disease, reduces cognition and memory. There are several papers investigating the topological properties of the brain network for Alzheimer's disease. But, to the best of our knowledge, no one covers the topological change of the Alzheimer's disease during its different stages. In this research, we examine the weighted graphs of 202 participants who were pioneers in Alzheimer's disease brain imaging (ADNI), including 50 normal, 72 individuals with early mild cognitive impairment (eMCI), and 38 individuals withlate mild cognitive impairment (lMCI) and 42 Alzheimer's (AD) patients. The data in this paper are obtained from previous study of the authors, which is a 70 × 70 weighted adjacencymatrix for 4 brain networks in the Normal, eMCI, lMCI, and AD stages.In this study, several important graph topological parameters for each of the networks of the four stages of the disease are calculated.
