Laminar Constructions and Reciprocal Structures

The Syntax of Transitive Reciprocal Constructions and Polysemy with Reflexives

Automatic structures for semigroup constructions

We survey results concerning automatic structures for semigroup constructions, providing references and describing the corresponding automatic structures. The constructions we consider are: free products, direct products, Rees matrix semigroups, Bruck-Reilly extensions and wreath products.

Partial cubes: structures, characterizations, and constructions

Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djoković’s and Winkler’s relations play an important role in the theory of partial cubes. These structures are employed in the paper to characterize bipartite graphs and partial cubes of arbitrary dimension. New characterizations are established and new proofs of some known results are ...

Structures and Constructions of Subsystem Codes over Finite Fields

Quantum information processing is a rapidlymounting field that promises to accelerate the speed up ofcomputations. The field utilizes the novel fundamental rules ofquantum mechanics such as accelerations. Quantum states carry-ing quantum information are tempted to noise and decoherence,that’s why the field of quantum error control comes. In thispaper, we investigate vari...

Computational Design and Construction of Notch-free Reciprocal Frame Structures

A reciprocal frame (RF) is a self-standing 3D structure typically formed by a complex grillage created as an assembly of simple atomic RF-units, which are in turn made up of three or more sloping rods forming individual units. While RF-structures are attractive given their simplicity, beauty, and ease of deployment; creating such structures, however, is difficult and cumbersome. In this work, w...