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Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits. In this paper, we present a novel approach to Euler diagram generation. We develop certain graphs associated with Euler diagrams in order to allow curves to be added by finding cycles in these graphs. This permits us to build Euler diagrams inductively, adding one curve at a time. Ourdoi:10.1109/vlhcc.2010.24 dblp:conf/vl/RodgersSHZ10 fatcat:4wz4t3rdejhlffmavcqd5whf3u