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» On Planar Quasi-Parity Graphs
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ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
16 years 6 days ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...
GD
2006
Springer
15 years 10 months ago
Morphing Planar Graphs in Spherical Space
We consider the problem of intersection-free planar graph morphing, and in particular, a generalization from Euclidean space to spherical space. We show that there exists a continu...
Stephen G. Kobourov, Matthew Landis
FSTTCS
2000
Springer
15 years 10 months ago
Planar Graph Blocking for External Searching
We present a new scheme for storing a planar graph in external memory so that any online path can be traversed in an I-O efficient way. Our storage scheme significantly improves th...
Surender Baswana, Sandeep Sen
COMBINATORICS
2004
100views more  COMBINATORICS 2004»
15 years 6 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner
MFCS
2004
Springer
16 years 2 days ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...