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# Vertex Intersection Graphs of Paths on a Grid

@article{Asinowski2012VertexIG, title={Vertex Intersection Graphs of Paths on a Grid}, author={Andrei Asinowski and Elad Cohen and Martin Charles Golumbic and Vincent Limouzy and Marina Lipshteyn and Michal Stern}, journal={J. Graph Algorithms Appl.}, year={2012}, volume={16}, pages={129-150} }

- Published 2012 in J. Graph Algorithms Appl.

We investigate the class of vertex intersection graphs of paths on a grid, and specifically consider the subclasses that are obtained when each path in the representation has at most k bends (turns). We call such a subclass the Bk-VPG graphs, k ≥ 0. In chip manufacturing, circuit layout is modeled as paths (wires) on a grid, where it is natural to constrain the number of bends per wire for reasons of feasibility and to reduce the cost of the chip. If the number k of bends is not restricted… CONTINUE READING

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