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» Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
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WG
2009
Springer
13 years 11 months ago
Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...
AUSSOIS
2001
Springer
13 years 9 months ago
Exact Algorithms for NP-Hard Problems: A Survey
We discuss fast exponential time solutions for NP-complete problems. We survey known results and approaches, we provide pointers to the literature, and we discuss several open prob...
Gerhard J. Woeginger
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
DAC
1999
ACM
14 years 5 months ago
Graph Coloring Algorithms for Fast Evaluation of Curtis Decompositions
Finding the minimum column multiplicity for a bound set of variables is an important problem in Curtis decomposition. To investigate this problem, we compared two graphcoloring pr...
Marek A. Perkowski, Rahul Malvi, Stan Grygiel, Mic...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert