ABSTRACT Few-shot segmentation aims to segment objects in a task dataset with only a few labelled target examples, aided by a lot of labelled auxiliary datasets. Existing approaches typically assume that the task dataset and auxiliary dataset originate from the same source but have disjoint category sets. However, it is common in remote sensing image segmentation tasks that the datasets are from different sources and the category sets are often partially overlapped, where models trained on the auxiliary dataset degrade in performance on the task dataset. To address these issues, we present a few-shot segmentation method based on graph network and open-set domain adaptation. The proposed method utilizes a graph model to capture the relationships between super pixels and to predict labels for the unlabelled samples by label propagation, meanwhile, leverages open-set domain adaptation to reduce inter-domain discrepancies and enhances model transferability. The proposed method is evaluated on two publicly available datasets, and the effectiveness of the proposed approach is demonstrated by the significant improvement in accuracy compared to existing methods.