Distributed control and location estimation of multiagent systems have received tremendous
research attention in recent years because of their potential across many application …

In a recent paper, a systematic method was proposed for devising gradient control laws for
asymptotically stabilizing a large class of rigid, undirected formations in two-dimensional …

This introduction to the theory of rigid structures explains how to analyze the performance of
built and natural structures under loads, paying special attention to the role of geometry. The …

Among the intuitively appealing aspects of graph theory is its close connection to drawings
and geometry. The development of computer technology has become a source of motivation …

Despite the great success of using gradient-based controllers to stabilize rigid formations of
autonomous agents in the past years, surprising yet intriguing undesirable collective …

Using a combination of analytic and computational methods, we examine the effect of
adding hierarchical substructure to an auxetic lattice. Our novel methodology, involving a …

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

The success of generative modeling in continuous domains has led to a surge of interest in
generating discrete data such as molecules, source code, and graphs. However …

A theorem of Laman gives a combinatorial characterization of the graphs that admit a
realization as a minimally rigid generic bar-joint framework in R^2. A more general theory is …

A pseudo-triangle is a simple polygon with exactly three convex vertices, and a pseudo-
triangulation is a face-to-face tiling of a planar region into pseudo-triangles. Pseudo …