Given a simplicial complex with weights on its simplices, and a nontrivial cycle on it, we are interested in finding the cycle with minimal weight which is homologous to the given one.
The Euclidean shortest path problem in a polygonal region is one of the oldest and best-known in Computational Geometry due to its various applications.
A graphical realization of a linear code C consists of an assignment of the coordinates of C to the vertices of a graph, along with a specification of linear state spaces and linear local constraint codes to be associated with the edges and vert
If networks of chemical reactions are the circuits of biology then catalysts are the transistors, or perhaps switches. But which species should be called catalysts? Come to the talk and find out.
Localization is a fundamental problem in robotics. The kidnapped robot possesses a compass and map of its environment it must determine its location at a minimum cost of travel distance.
In formal languguage theory, regularity is a robust notion having many equivalent representations: regular expressions, ï¬nite state automata, MSO etc. These have made important impact on programming and veriï¬cation tools.
