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» On Planar Quasi-Parity Graphs
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COMGEO
2007
ACM
15 years 6 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
ENDM
2008
123views more  ENDM 2008»
15 years 6 months ago
Morphing Planar Graph Drawings with Bent Edges
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend. The morph uses a polynomial number of elementary steps, whe...
Anna Lubiw, Mark Petrick
IPL
2007
81views more  IPL 2007»
15 years 6 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
ISPD
2010
ACM
249views Hardware» more  ISPD 2010»
16 years 1 months ago
A matching based decomposer for double patterning lithography
Double Patterning Lithography (DPL) is one of the few hopeful candidate solutions for the lithography for CMOS process beyond 45nm. DPL assigns the patterns less than a certain di...
Yue Xu, Chris Chu
ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
15 years 11 months ago
Sensor-Based Exploration for Convex Bodies: A New Roadmap for a Convex-Shaped Robot
We present a new algorithm that enables a convex shaped robot to explore an unknown planar workspace, i.e., an unknown configuration space diffeomorphic to SE(2). This new algor...
Ji Yeong Lee, Howie Choset