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» Solving path problems on the GPU
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COCO
2000
Springer
123views Algorithms» more  COCO 2000»
15 years 1 months ago
A Lower Bound for the Shortest Path Problem
We show that the Shortest Path Problem cannot be solved in o(log n) time on an unbounded fan-in PRAM without bit operations using poly(n) processors even when the bit-lengths of t...
Ketan Mulmuley, Pradyut Shah
ENDM
2010
112views more  ENDM 2010»
14 years 7 months ago
On the complexity of the Eulerian closed walk with precedence path constraints problem
The Eulerian closed walk problem in a digraph is a well-known polynomial-time solvable problem. In this paper, we show that if we impose the feasible solutions to fulfill some pre...
Hervé Kerivin, Mathieu Lacroix, Ali Ridha M...
89
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MCU
2004
129views Hardware» more  MCU 2004»
14 years 11 months ago
Solving 3CNF-SAT and HPP in Linear Time Using WWW
We propose linear time solutions to two much celebrated NP-complete problems, namely the 3CNF-SAT and the directed Hamiltonian Path Problem (HPP), based on AHNEPs having all resour...
Florin Manea, Carlos Martín-Vide, Victor Mi...
CORR
2011
Springer
169views Education» more  CORR 2011»
14 years 4 months ago
Lower bound for deterministic semantic-incremental branching programs solving GEN
We answer a problem posed in [GKM08] regarding a restricted model of small-space computation, tailored for solving the GEN problem. They define two variants of “incremental bra...
Dustin Wehr
CATA
2004
14 years 11 months ago
Optimal Trees for the Parametric Fixed Charge Shortest Paths Problem
We investigate a variant of the Fixed Charge Shortest Paths problem which enumerates the sequence of optimal solutions that arise as the focus shifts from the fixed cost parameter...
Fred J. Rispoli, Steven Cosares