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Given two sets of entities–potentially the results of two queries on a knowledge-graph like YAGO or DBpedia–characterizing the relationship between these sets in the form of important people, events and organizations is an analytics task useful in many domains. In this paper, we present an intuitive and efficiently computable vertex centrality measure that captures the importance of a node with respect to the explanation of the relationship between the pair of query sets. Using a weighted link graph of entities contained in the English Wikipedia, we demonstrate the usefulness of the proposed measure.