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» A Light-Based Device for Solving the Hamiltonian Path Proble...
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MFCS
2009
Springer
13 years 11 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...
MCU
2004
129views Hardware» more  MCU 2004»
13 years 6 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...
ICNC
2005
Springer
13 years 10 months ago
DNA Computing for Complex Scheduling Problem
Interest in DNA computing has increased overwhelmly since Adleman successfully demonstrated its capability to solve Hamiltonian Path Problem (HPP). Many research results of similar...
Mohd Saufee Muhammad, Zuwairie Ibrahim, Satomi Ued...
FUN
2007
Springer
80views Algorithms» more  FUN 2007»
13 years 8 months ago
The Traveling Beams Optical Solutions for Bounded NP-Complete Problems
Architectures for optical processors designed to solve bounded instances of NP-Complete problems are suggested. One approach mimics the traveling salesman by traveling beams that ...
Shlomi Dolev, Hen Fitoussi
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 2 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...