Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
A connected dominating set (CDS) for a graph G(V, E) is a subset V of V , such that each node in V - V is adjacent to some node in V , and V induces a connected subgraph. A CDS ha...