Community search that finds query-dependent communities has been studied on various kinds of graphs. As one instance of community search, intimate-core group search over a weighted graph is to find a connected fc-core containing all query nodes with the smallest group weight. However, existing state-of-the-art methods start from the maximal fc-core to refine an answer, which is practically inefficient for large networks. In this paper, we develop an efficient framework, called local exploration k-core search (LEKS), to find intimate-core groups in graphs. We propose a small-weighted spanning tree to connect query nodes, and then expand the tree level by level to a connected fc-core, which is finally refined as an intimate-core group. We also design a protection mechanism for critical nodes to avoid the collapsed fc-core. Extensive experiments on real-life networks validate the effectiveness and efficiency of our methods.
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