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CORR
2011
Springer
169views Education» more  CORR 2011»
14 years 10 months ago
Linear-Time Algorithms for Graphs of Bounded Rankwidth: A Fresh Look Using Game Theory
d Abstract) Alexander Langer, Peter Rossmanith, and Somnath Sikdar RWTH Aachen University, 52074 Aachen, Germany. We present an alternative proof of a theorem by Courcelle, Makowsk...
Alexander Langer, Peter Rossmanith, Somnath Sikdar
SWAT
2004
Springer
123views Algorithms» more  SWAT 2004»
15 years 8 months ago
A Simple Linear-Time Modular Decomposition Algorithm for Graphs, Using Order Extension
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...
CORR
2010
Springer
101views Education» more  CORR 2010»
15 years 3 months ago
On a Low-Rate TLDPC Code Ensemble and the Necessary Condition on the Linear Minimum Distance for Sparse-Graph Codes
Abstract-- This paper addresses the issue of design of lowrate sparse-graph codes with linear minimum distance in the blocklength. First, we define a necessary condition which need...
Iryna Andriyanova, Jean-Pierre Tillich
SIAMCOMP
2008
77views more  SIAMCOMP 2008»
15 years 3 months ago
A Linear-Time Approximation Scheme for TSP in Undirected Planar Graphs with Edge-Weights
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...
Philip N. Klein
DCG
2000
84views more  DCG 2000»
15 years 2 months ago
Convex and Linear Orientations of Polytopal Graphs
This paper examines directed graphs related to convex polytopes. For each fixed d-polytope and any acyclic orientation of its graph, we prove there exist both convex and concave fu...
J. Mihalisin, Victor Klee