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GD
2009
Springer
15 years 8 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
128
Voted
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
15 years 5 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein
99
Voted
IWINAC
2005
Springer
15 years 9 months ago
Self Assembling Graphs
A self-assembly algorithm for synchronising agents and have them arrange according to a particular graph is given. This algorithm, expressed using an ad hoc rule-based process alge...
Vincent Danos, Fabien Tarissan
163
Voted
IPPS
1998
IEEE
15 years 7 months ago
Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
101
Voted
JDA
2006
87views more  JDA 2006»
15 years 3 months ago
A 3-approximation for the pathwidth of Halin graphs
We prove that the pathwidth of Halin graphs can be 3-approximated in linear time. Our approximation algorithms is based on a combinatorial result about respectful edge orderings o...
Fedor V. Fomin, Dimitrios M. Thilikos