Competitive analysis is the established tool for measuring the output quality of algorithms that work in an online environment. Recently, the model of advice complexity has been in...
We consider the complexity of join problems, focusing on equijoins, spatial-overlap joins, and set-containment joins. We use a graph pebbling model to characterize these joins com...
Jin-yi Cai, Venkatesan T. Chakaravarthy, Raghav Ka...
In this paper we study the problem of scheduling wireless links in the geometric SINR model, which explicitly uses the fact that nodes are distributed in the Euclidean plane. We p...
Olga Goussevskaia, Yvonne Anne Oswald, Roger Watte...
Spatial and temporal data are critical components in many applications. This is especially true in analytical domains such as national security and criminal investigation. Often, t...
Matthew Perry, Amit P. Sheth, Farshad Hakimpour, P...
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...