Graphs are designed to tackle complex problems by making data flows and relationships more manageable, as seen in the case of tracking data lineage across large organizations. Companies like Neo4j are leveraging graph technology to build innovative applications that can handle intricate data structures and connections. The video from MANTA highlights the capabilities of graphs, while a webinar featuring industry experts discusses the benefits of building on Neo4j, including its ability to simplify complex problems and make them more accessible. By embracing graph technology, companies can unlock new insights and opportunities, making it an attractive solution for tackling complexity in data-driven environments.