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» An Improved Exact Algorithm for Cubic Graph TSP
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DAGSTUHL
2007
13 years 6 months ago
Exact Elimination of Cycles in Graphs
One of the standard basic steps in drawing hierarchical graphs is to invert some arcs of the given graph to make the graph acyclic. We discuss exact and parameterized algorithms fo...
Daniel Raible, Henning Fernau
EJC
2011
12 years 12 months ago
Cubic time recognition of cocircuit graphs of uniform oriented matroids
We present an algorithm which takes a graph as input and decides in cubic time if the graph is the cocircuit graph of a uniform oriented matroid. In the affirmative case the algor...
Stefan Felsner, Ricardo Gómez Aiza, Kolja B...
COCOON
2007
Springer
13 years 8 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
FOCS
2003
IEEE
13 years 10 months ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
AMAI
2004
Springer
13 years 10 months ago
Improving Exact Algorithms for MAX-2-SAT
We study three new techniques which will speed up the branch-and-bound algorithm for the MAX-2-SAT problem: The first technique is a new lower bound function for the algorithm an...
Haiou Shen, Hantao Zhang