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CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 6 months ago
Parameterized Complexity Results in Symmetry Breaking
Abstract. Symmetry is a common feature of many combinatorial problems. Unfortunately eliminating all symmetry from a problem is often computationally intractable. This paper argues...
Toby Walsh
IPL
2010
82views more  IPL 2010»
13 years 6 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
STACS
2010
Springer
13 years 11 months ago
The Complexity of the List Homomorphism Problem for Graphs
We completely characterise the computational complexity of the list homomorphism problem for graphs in combinatorial and algebraic terms: for every graph H the problem is either N...
László Egri, Andrei A. Krokhin, Beno...
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 5 months ago
Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
DAGSTUHL
2010
13 years 9 months ago
Exploring Visualization Methods for Complex Variables
Applications of complex variables and related manifolds appear throughout mathematics and science. Here we review a family of basic methods for applying visualization concepts to ...
Andrew J. Hanson, Ji-Ping Sha