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» The proof of Hermann's conjecture
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MFCS
2007
Springer
15 years 7 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
16 years 1 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»
14 years 11 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
15 years 2 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
15 years 8 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