Fixed-Parameter Algorithms for Cluster Vertex Deletion

2008 ◽  
pp. 711-722 ◽  
Author(s):  
Falk Hüffner ◽  
Christian Komusiewicz ◽  
Hannes Moser ◽  
Rolf Niedermeier
Keyword(s):  
Vertex Deletion ◽  
Fixed Parameter

Fixed-Parameter Algorithms for Cluster Vertex Deletion

2008 ◽  
Vol 47 (1) ◽  
pp. 196-217 ◽  
Author(s):  
Falk Hüffner ◽  
Christian Komusiewicz ◽  
Hannes Moser ◽  
Rolf Niedermeier
Keyword(s):  
Vertex Deletion ◽  
Fixed Parameter

scholarly journals Fixed-Parameter Extrapolation and Aperiodic Order

2018 ◽  
Vol 49 (3) ◽  
pp. 35-47
Author(s):  
Stephen Fenner ◽  
Frederic Green ◽  
Steven Homer
Keyword(s):  
Aperiodic Order ◽  
Fixed Parameter

The complexity of fixed-parameter problems

2008 ◽  
Vol 39 (1) ◽  
pp. 33-46 ◽  
Author(s):  
Jonathan F. Buss ◽  
Tarique M. Islam
Keyword(s):  
Fixed Parameter

scholarly journals Eisenstein series and an asymptotic for the K-Bessel function

2021 ◽  
Author(s):  
Jimmy Tseng
Keyword(s):  
Asymptotic Expansion ◽  
Bessel Function ◽  
Eisenstein Series ◽  
Uniform Estimate ◽  
Positive Real ◽  
Dominant Term ◽  
Complex Order ◽  
Fixed Parameter ◽  
Real Argument ◽  
Real Analytic

AbstractWe produce an estimate for the K-Bessel function $$K_{r + i t}(y)$$ K r + i t ( y ) with positive, real argument y and of large complex order $$r+it$$ r + i t where r is bounded and $$t = y \sin \theta $$ t = y sin θ for a fixed parameter $$0\le \theta \le \pi /2$$ 0 ≤ θ ≤ π / 2 or $$t= y \cosh \mu $$ t = y cosh μ for a fixed parameter $$\mu >0$$ μ > 0 . In particular, we compute the dominant term of the asymptotic expansion of $$K_{r + i t}(y)$$ K r + i t ( y ) as $$y \rightarrow \infty $$ y → ∞ . When t and y are close (or equal), we also give a uniform estimate. As an application of these estimates, we give bounds on the weight-zero (real-analytic) Eisenstein series $$E_0^{(j)}(z, r+it)$$ E 0 ( j ) ( z , r + i t ) for each inequivalent cusp $$\kappa _j$$ κ j when $$1/2 \le r \le 3/2$$ 1 / 2 ≤ r ≤ 3 / 2 .

scholarly journals Fixed-Parameter Algorithms for Unsplittable Flow Cover

2021 ◽  
Author(s):  
Andrés Cristi ◽  
Mathieu Mari ◽  
Andreas Wiese
Keyword(s):  
Fixed Parameter ◽  
Unsplittable Flow
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