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SIAMCOMP
2011
12 years 11 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
ENDM
2010
110views more  ENDM 2010»
13 years 8 months ago
Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs
Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibil...
Ivana Ljubic, Stefan Gollowitzer
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 5 months ago
Fast Approximation Algorithms for Cut-based Problems in Undirected Graphs
We present a general method of designing fast approximation algorithms for cut-based minimization problems in undirected graphs. In particular, we develop a technique that given a...
Aleksander Madry
JCT
2008
101views more  JCT 2008»
13 years 8 months ago
Refined activation strategy for the marking game
This paper introduces a new strategy for playing the marking game on graphs. Using this strategy, we prove that if G is a planar graph, then the game colouring number of G, and he...
Xuding Zhu
MP
2006
84views more  MP 2006»
13 years 8 months ago
Optimal 3-terminal cuts and linear programming
Given an undirected graph G = (V;E) and three speci ed terminal nodes t1;t2;t3, a 3-cut is a subset A of E such that no two terminals are in the same component of GnA. If a non-neg...
Kevin K. H. Cheung, William H. Cunningham, Lawrenc...