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IWPEC
2004
Springer
15 years 8 months ago
Chordless Paths Through Three Vertices
Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Robert Haas, Michael Hoffmann
126
Voted
SODA
2000
ACM
96views Algorithms» more  SODA 2000»
15 years 4 months ago
Improved Steiner tree approximation in graphs
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
Gabriel Robins, Alexander Zelikovsky
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
15 years 3 months ago
Automated Generation of Search Tree Algorithms for Hard Graph Modification Problems
We present a framework for an automated generation of exact search tree algorithms for NP-hard problems. The purpose of our approach is two-fold--rapid development and improved up...
Jens Gramm, Jiong Guo, Falk Hüffner, Rolf Nie...
177
Voted
ECCC
2007
147views more  ECCC 2007»
15 years 3 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
GD
2007
Springer
15 years 9 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth