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» Computing the Girth of a Planar Graph
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WG
2004
Springer
15 years 2 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
CCCG
2010
14 years 11 months ago
Computing straight skeletons of planar straight-line graphs based on motorcycle graphs
We present a simple algorithm for computing straight skeletons of planar straight-line graphs. We exploit the relation between motorcycle graphs and straight skeletons, and introd...
Stefan Huber, Martin Held
NIPS
1996
14 years 11 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
CORR
2010
Springer
164views Education» more  CORR 2010»
14 years 9 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 8 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...