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» Contractions of Planar Graphs in Polynomial Time
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NIPS
1996
13 years 9 months ago
Are Hopfield Networks Faster than Conventional Computers?
It is shown that conventional computers can be exponentially faster than planar Hopfield networks: although there are planar Hopfield networks that take exponential time to conver...
Ian Parberry, Hung-Li Tseng
WG
2005
Springer
14 years 2 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 2 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
STOC
1998
ACM
129views Algorithms» more  STOC 1998»
14 years 23 days ago
Planar Map Graphs
We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 8 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause