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Three group centrality measures--degree, closeness, and betweenness--are utilized in this paper to explore the role of disciplines in two journal co-citation networks by using 677 journals from 40 disciplines categorized by Web of Knowledge. The result shows that social science disciplines play a more central role in knowledge communication and interaction among disciplines than science discipline. Some science disciplines, such as Computer Science, have become more dominant in terms of the three centrality measures over time. The use of group centrality measures provides a novel way of exploring role of disciplines in science mapping and provides evidence that a more comprehensive result can be obtained when all three of these measurements are utilized.