This document proposes dynamic insets for context-aware graph navigation. Dynamic insets display nodes just outside the visible screen area in an inset window based on their degree of interest, allowing users to see important surrounding context. An evaluation with 12 participants found dynamic insets significantly outperformed existing bringing-and-going techniques for tasks involving close and distant context in graphs. A follow up study with 6 participants tested dynamic insets on map and social network scenarios, finding they provide useful contextual navigation of large graphs.