Slide 1Lower Bounds for Additive Spanners, Emulators, and More David P. Woodruff MIT and Tsinghua University To appear in FOCS, 2006 Slide 2 The Model G = (V, E) undirected…

Slide 11 Introduction to Algorithms 6.046J/18.401J/SMA5503 Lecture 18 Prof. Erik Demaine Slide 2 2 Negative-weight cycles Recall: If a graph G = (V, E) contains a negative-…

Slide 1 Slide 2 Flows sourcesink s t Slide 3 Flows sourcesink 5 2 4 2 3 4 7 2 edge-weights = capacities Slide 4 Flows sourcesink 5 2 4 2 3 4 7 2 2 2 2 2 2 2 edge-weights…

Lower Bounds for Additive Spanners, Emulators, and More David P. Woodruff MIT and Tsinghua University To appear in FOCS, 2006 The Model G = (V, E) undirected unweighted graph,…

Timing Optimization Optimization of Timing Three phases globally restructure to reduce the maximum level or longest path Ex: a ripple carry adder ==> a carry look-ahead…