The evolution mechanism of Ethereum transactions is a significant but rarely mentioned topic, whereas the majority of current research in Ethereum transaction records concentrates on statistical analysis and measurements of the available data. In this chapter, we first collect Ethereum transaction data and create micro-level network models, after which we quantify the influence of network properties on Ethereum evolution using a link-prediction based approach. We then investigate the characteristics of the graph structure and the forces that give rise to newly formed transaction links. According to experimental findings, Ethereum networks have a star-shaped local and microscopic structure, and the growth of Ethereum transaction relationships is significantly influenced by the frequency of address transactions. The first-layer nodes of micro-structures control the network’s evolution. In addition, the degree of addresses provides a useful foundation for forecasting the path of incoming transactions. There is a discussion of possible future research on Ethereum transaction link prediction, such as the label effect of center addresses.