The field of discrete calculus, also known as" discrete exterior calculus", focuses on finding a
proper set of definitions and differential operators that make it possible to operate the …

We develop a new formulation for the form-finding of tensegrity structures in which the
primary variables are the Cartesian components of element lengths. Both an analytical and …

Abstract One degrees-of-freedom (1DOF) linkages are persistent in mechanical systems.
However, designing linkages to follow a desired path, known as path synthesis, is …

Brain imaging methods have long held promise as diagnostic aids for neuropsychiatric
conditions with complex behavioral phenotypes such as Attention-Deficit/Hyperactivity …

The state-of-the-art modern pose-graph optimization (PGO) systems are vertex based. In this
context, the number of variables might be high, albeit the number of cycles in the graph (loop …

A reactive molecular dynamics approach is used to simulate cross-linking of acrylate
polymer networks. By employing the same force field and reactive scheme and studying …

Transportation and distribution networks are a class of spatial networks that have been of
interest in recent years. These networks are often characterized by the presence of complex …

We study the problems of finding a minimum cycle basis (a minimum weight set of cycles
that form a basis for the cycle space) and a minimum homology basis (a minimum weight set …

The current limitations of non-differentiable evaluation models and computationally
expensive heuristic algorithms hinder the optimization of real-world structures. This research …

In this paper, we employ the decomposition of a directed network as an undirected graph
plus its associated node meta-data to characterise the cyclic structure found in directed …