1 citations · 1 across the 3 of their papers we have counts for
6 papers
Building Squares with Optimal State Complexity in Restricted Active Self-Assembly
Robert M. Alaniz, David Caballero, Sonya C. Cirlos +6
Tile Automata is a recently defined model of self-assembly that borrows many concepts from cellular automata to create active self-assembling systems where changes may be occurring…
Hardness of Reconfiguring Robot Swarms with Uniform External Control in Limited Directions
David Caballero, Angel A. Cantu, Timothy Gomez +3
Motivated by advances is nanoscale applications and simplistic robot agents, we look at problems based on using a global signal to move all agents when given a limited number of di…
Covert Computation in Self-Assembled Circuits
Angel A. Cantu, Austin Luchsinger, Robert Schweller +1
Traditionally, computation within self-assembly models is hard to conceal because the self-assembly process generates a crystalline assembly whose computational history is inherent…
Full Tilt: Universal Constructors for General Shapes with Uniform External Forces
Jose Balanza-Martinez, David Caballero, Angel A. Cantu +6
We investigate the problem of assembling general shapes and patterns in a model in which particles move based on uniform external forces until they encounter an obstacle. While pre…
Crazy Sequential Representations of Numbers for Small Bases
Tim Wylie
Throughout history, recreational mathematics has always played a prominent role in advancing research. Following in this tradition, in this paper we extend some recent work with cr…
Verification in Staged Tile Self-Assembly
Robert Schweller, Andrew Winslow, Tim Wylie
We prove the unique assembly and unique shape verification problems, benchmark measures of self-assembly model power, are -hard and contained in $\math…