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» Computing Hilbert Class Polynomials
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ENDM
2006
96views more  ENDM 2006»
13 years 7 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...
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 11 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
EOR
2008
69views more  EOR 2008»
13 years 7 months ago
On the complexity of optimization over the standard simplex
We review complexity results for minimizing polynomials over the standard simplex and unit hypercube. In addition, we derive new results on the computational complexity of approxi...
E. de Klerk, Dick den Hertog, G. Elabwabi
FQ
2003
Springer
14 years 23 days ago
Symplectic Spreads and Permutation Polynomials
Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and conversely. This leads to an...
Simeon Ball, Michael Zieve
COMPGEOM
2001
ACM
13 years 11 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...