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» Computing Tutte Polynomials
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130
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STACS
2005
Springer
15 years 8 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn
129
Voted
DISOPT
2007
93views more  DISOPT 2007»
15 years 2 months ago
A polynomial time equivalence between DNA sequencing and the exact perfect matching problem
We investigate the computational complexity of a combinatorial problem that arises in DNA sequencing by hybridization: The input consists of an integer together with a set S of wo...
Jacek Blazewicz, Piotr Formanowicz, Marta Kasprzak...
MST
2010
83views more  MST 2010»
15 years 25 days ago
Does the Polynomial Hierarchy Collapse if Onto Functions are Invertible?
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
126
Voted
MOC
2011
14 years 5 months ago
Calculating cyclotomic polynomials
Abstract. We present three algorithms to calculate Φn(z), the nth cyclotomic polynomial. The first algorithm calculates Φn(z) by a series of polynomial divisions, which we perfo...
Andrew Arnold, Michael B. Monagan
NIPS
2003
15 years 3 months ago
Minimax Embeddings
Spectral methods for nonlinear dimensionality reduction (NLDR) impose a neighborhood graph on point data and compute eigenfunctions of a quadratic form generated from the graph. W...
Matthew Brand