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» Lower and upper bounds on obtaining history independence
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DLT
2007
15 years 1 months ago
Inapproximability of Nondeterministic State and Transition Complexity Assuming P=!NP
Abstract. Inapproximability results concerning minimization of nondeterministic finite automata relative to given deterministic finite automata were obtained only recently, modul...
Hermann Gruber, Markus Holzer
TIT
2010
76views Education» more  TIT 2010»
14 years 6 months ago
Tighter bounds on the capacity of finite-state channels via Markov set-chains
The theory of Markov set-chains is applied to derive upper and lower bounds on the capacity of finite-state channels that are tighter than the classic bounds by Gallager. The new ...
Jun Chen, Haim H. Permuter, Tsachy Weissman
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
15 years 1 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
FOCS
2007
IEEE
15 years 6 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
98
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CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 9 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...