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» On Planar Quasi-Parity Graphs
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CORR
2002
Springer
144views Education» more  CORR 2002»
14 years 11 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
14 years 11 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
CPHYSICS
2011
271views Education» more  CPHYSICS 2011»
14 years 3 months ago
A dedicated algorithm for calculating ground states for the triangular random bond Ising model
In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. T...
O. Melchert, A. K. Hartmann
CATS
2008
15 years 1 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
COMBINATORICS
2004
82views more  COMBINATORICS 2004»
14 years 11 months ago
Decomposing Infinite 2-Connected Graphs into 3-Connected Components
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
R. Bruce Richter