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» A Polynomial Bound for Untangling Geometric Planar Graphs
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CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 5 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
13 years 11 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
INFOCOM
2009
IEEE
13 years 12 months ago
Greedy Routing with Bounded Stretch
—Greedy routing is a novel routing paradigm where messages are always forwarded to the neighbor that is closest to the destination. Our main result is a polynomial-time algorithm...
Roland Flury, Sriram V. Pemmaraju, Roger Wattenhof...
IPL
2008
98views more  IPL 2008»
13 years 5 months ago
On the number of Go positions on lattice graphs
We use transfer matrix methods to determine bounds for the numbers of legal Go positions for various numbers of players on some planar lattice graphs, including square lattice gra...
Graham Farr, Johannes Schmidt
DM
2010
126views more  DM 2010»
13 years 5 months ago
Asymptotic connectivity of hyperbolic planar graphs
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...
Patrick Bahls, Michael R. Dipasquale