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20182026
most citedSmooth digraphs modulo primitive positive constructability and cyclic loop conditions

6 citations · 15 across the 7 of their papers we have counts for

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math.RA2026

Conservative CSPs in Logspace are in Symmetric Linear Datalog (under complexity theoretic assumptions)

Florian Starke

We show that the constraint satisfaction problem of any finite conservative structure that can not pp-construct st-Con (whose CSP is NL-complete) or 3Lin2 (whose CSP is Mod2L-compl…

math.RA2024

Symmetric Linear Arc Monadic Datalog and Gadget Reductions

Manuel Bodirsky, Florian Starke

A Datalog program solves a constraint satisfaction problem (CSP) if and only if it derives the goal predicate precisely on the unsatisfiable instances of the CSP. There are three D…

math.RA2024

Digraphs modulo primitive positive constructability

Florian Starke

This is my dissertation about digraphs ordered by pp-constructability. We study in particular smooth digraphs, i.e., digraphs without sources or sinks, tournaments and semicomplete…

math.RA2022

The Smallest Hard Trees

Manuel Bodirsky, Jakub Bulín, Florian Starke +1

We find an orientation of a tree with 20 vertices such that the corresponding fixed-template constraint satisfaction problem (CSP) is NP-complete, and prove that for every orientat…

math.RA2019★ 4 cited

On associative operations on commutative integral domains

Erkko Lehtonen, Florian Starke

We describe the associative multilinear polynomial functions over commutative integral domains. This extends Marichal and Mathonet's result on infinite integral domains and provide…

math.RA2019★ 6 cited

Smooth digraphs modulo primitive positive constructability and cyclic loop conditions

Manuel Bodirsky, Florian Starke, Albert Vucaj

Finite smooth digraphs, that is, finite directed graphs without sources and sinks, can be partially ordered via pp-constructability. We give a complete description of this poset an…