We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
ABSTRACT. We introduce tools from computational homology to verify coverage in an idealized sensor network. Our methods are unique in that, while they are coordinate-free and assum...
Background: Sequence searches are routinely employed to detect and annotate related proteins. However, a rapid growth of databases necessitates a frequent repetition of sequence s...
Valdemaras Repsys, Mindaugas Margelevicius, Ceslov...
Abstract. This paper surveys the theory of bidimensional graph problems. We summarize the known combinatorial and algorithmic results of this theory, the foundational Graph Minor r...
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...