In this blog post, Xuanlei Lin introduces the multi-edge feature in graph theory and its application in handling complex systems with multiple interactions between entities. The author presents a simplified version of a recent project where they utilized TigerGraph's multi-edge functionality to implement temporal search for agent hierarchy in the insurance industry. They discuss the business requirements, technical challenges, and solutions using TigerGraph's multi-edge feature. The solution effectively manages dynamic relationships over time and can be applied to various industries such as telecommunications, banking, and manufacturing.