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...
ABSTRACT { Sub-micron technologies and the increasing size and complexity of integrated components have aggravated the eect of long interconnects and buses, compared to that of ga...
Abstract—It is often claimed that future systems will necessarily be all-optical, because electronic devices are not fast enough to keep up with the increase in fiber capacity. ...
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...
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...