A fractal construction shows that, for any > 0, the -skeleton of a point set can have arbitrarily large dilation: (nc ), where c is a constant depending on and going to zero ...
Every 3-graph in which no four vertices are independent and no four vertices span precisely three edges must have edge density 4/9(1 - o(1)). This bound is tight. The proof is a r...
Unique-sink orientations (USOs) are an abstract class of orientations of the ncube graph. We consider some classes of USOs that are of interest in connection with the linear compl...
Graph drawing and visualization represent structural information ams of abstract graphs and networks. An important subset of graphs is directed acyclic graphs (DAGs). E-Spring alg...
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...