We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
In this paper we survey the major developments in understanding the complexity of the graph connectivity problem in several computational models, and highlight some challenging op...
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...