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» Graph Homomorphisms with Complex Values: A Dichotomy Theorem
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CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 7 months ago
From Holant To #CSP And Back: Dichotomy For Holant$^c$ Problems
We explore the intricate interdependent relationship among counting problems, considered from three frameworks for such problems: Holant Problems, counting CSP and weighted H-color...
Jin-yi Cai, Sangxia Huang, Pinyan Lu
CORR
2006
Springer
134views Education» more  CORR 2006»
13 years 9 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
DAM
2008
129views more  DAM 2008»
13 years 9 months ago
Minimum cost homomorphisms to semicomplete multipartite digraphs
For digraphs D and H, a mapping f : V (D)V (H) is a homomorphism of D to H if uv A(D) implies f(u)f(v) A(H). For a fixed directed or undirected graph H and an input graph D, the...
Gregory Gutin, Arash Rafiey, Anders Yeo
CSR
2008
Springer
13 years 9 months ago
Colouring, constraint satisfaction, and complexity
Constraint satisfaction problems have enjoyed much attention since the early seventies, and in the last decade have become also a focus of attention amongst theoreticians. Graph c...
Pavol Hell, Jaroslav Nesetril
CORR
2006
Springer
132views Education» more  CORR 2006»
13 years 9 months ago
The Connectivity of Boolean Satisfiability: Computational and Structural Dichotomies
Boolean satisfiability problems are an important benchmark for questions about complexity, algorithms, heuristics and threshold phenomena. Recent work on heuristics, and the satis...
Parikshit Gopalan, Phokion G. Kolaitis, Elitza N. ...