The document introduces Gelly, Flink's graph processing API. It discusses why graph processing with Flink, provides an overview of Gelly and its key features like iterative graph processing. It describes Gelly's native iteration support and both vertex-centric and gather-sum-apply models. Examples demonstrate basic graph operations and algorithms like connected components, shortest paths. The summary concludes by mentioning upcoming Gelly features and encouraging readers to try it out.