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» The proof of Hermann's conjecture
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MFCS
2007
Springer
14 years 1 months ago
Combinatorial Proof that Subprojective Constraint Satisfaction Problems are NP-Complete
Abstract. We introduce a new general polynomial-time constructionthe fibre construction- which reduces any constraint satisfaction problem CSP(H) to the constraint satisfaction pr...
Jaroslav Nesetril, Mark H. Siggers
CADE
2007
Springer
14 years 7 months ago
Labelled Clauses
We add labels to first-order clauses to simultaneously apply superpositions to several proof obligations inside one clause set. From a theoretical perspective, the approach unifies...
Tal Lev-Ami, Christoph Weidenbach, Thomas W. Reps,...
CMA
2010
68views more  CMA 2010»
13 years 4 months ago
Maximum cardinality resonant sets and maximal alternating sets of hexagonal systems
It is shown that the Clar number can be arbitrarily larger than the cardinality of a maximal alternating set. In particular, a maximal alternating set of a hexagonal system need n...
Sandi Klavzar, Khaled Salem, Andrej Taranenko
STRINGOLOGY
2004
13 years 8 months ago
Conditional Inequalities and the Shortest Common Superstring Problem
We investigate the shortest common superstring problem (SCSSP). As SCSSP is APX-complete it cannot be approximated within an arbitrarily small performance ratio. One heuristic tha...
Uli Laube, Maik Weinard
BIRTHDAY
2009
Springer
14 years 2 months ago
On Path Partitions and Colourings in Digraphs
We provide a new proof of a theorem of Saks which is an extension of Greene’s Theorem to acyclic digraphs, by reducing it to a similar, known extension of Greene and Kleitman’s...
Irith Ben-Arroyo Hartman