Scalable, Versatile and Simple Constrained Graph Layout

Abstract We describe a new technique for graph layout subject to constraints. Compared to previous techniques the proposed method is much faster and scalable to much larger graphs. For a graph with n nodes, m edges and c constraints it computes incremental layout in time O ( n log n + m + c ) per iteration. Also, it supports a much more powerful class of constraint: inequalities or equalities over the Euclidean distance between nodes. We demonstrate the power of this technique by application to a number of diagramming conventions which previous constrained graph layout methods could not support. Further, the constraint‐satisfaction method—inspired by recent work in position‐based dynamics—is far simpler to implement than previous methods.