Techniques herein organize and display as branches the historical versions of filtrations of a property graph in a way that suits interactive exploration. In embodiments, a computer loads metadata that describes versions of filtration of a graph that contains vertices interconnected by edges. Based on the metadata, the computer displays, along a timeline, version indicators that each represents a respective historical version of filtration of the graph. The computer displays, responsive to receiving an interactive selection of a particular version indicator of the plurality of version indicators, a particular version of filtration of the graph that is represented by the particular version indicator. Subsequences of versions for the timeline may be organized as branches that may be interactively created and merged. Branching and merging are integrated into the general lifecycle of graph filtration. A version timeline may be presented and operated as a tool for historical navigation and speculative exploration.