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CORR
2008
Springer
119views Education» more  CORR 2008»
15 years 6 months ago
Capacity of the Discrete-Time AWGN Channel Under Output Quantization
We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. W...
Jaspreet Singh, Onkar Dabeer, Upamanyu Madhow
CORR
2008
Springer
83views Education» more  CORR 2008»
15 years 6 months ago
Alternating Hierarchies for Time-Space Tradeoffs
Nepomnjascii's Theorem states that for all 0 < 1 and k > 0 the class of languages recognized in nondeterministic time nk and space n , NTISP[nk , n ], is contained in ...
Chris Pollett, Eric Miles
CORR
2008
Springer
72views Education» more  CORR 2008»
15 years 6 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
CORR
2008
Springer
131views Education» more  CORR 2008»
15 years 6 months ago
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolati...
Samir Datta, Raghav Kulkarni, Sambuddha Roy
CORR
2008
Springer
143views Education» more  CORR 2008»
15 years 6 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...