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» The vertex-cover polynomial of a graph
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ENDM
2006
96views more  ENDM 2006»
14 years 9 months ago
Exploring the complexity boundary between coloring and list-coloring
Many classes of graphs where the vertex coloring problem is polynomially solvable are known, the most prominent being the class of perfect graphs. However, the list-coloring proble...
Flavia Bonomo, Guillermo Durán, Javier Mare...
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
15 years 3 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
CC
2006
Springer
147views System Software» more  CC 2006»
14 years 9 months ago
Complexity of Ring Morphism Problems
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
Neeraj Kayal, Nitin Saxena
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
15 years 4 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
COLOGNETWENTE
2010
14 years 8 months ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik