[PDF][PDF] On planar 3-SAT and its variants

S Tippenhauer, W Muzler - Fachbereich Mathematik und …, 2016 - researchgate.net
In 1977, David Lichtenstein introduced in his master thesis [Lic77] the concept of planar
Boolean formulas. It was not until 1982 that his idea was first published in a journal [Lic82] …

[PDF][PDF] Planar 3-SAT with a clause/variable cycle

A Pilz - Discrete Mathematics & Theoretical Computer …, 2019 - dmtcs.episciences.org
The problem remains hard for monotone formulas, as well as for instances with exactly three
distinct variables per clause. In the course of this investigation, we show that monotone …

A social choice approach to ordinal group activity selection

A Darmann - Mathematical Social Sciences, 2018 - Elsevier
We consider the situation in which group activities need to be organized for a set of agents
when each agent can take part in at most one activity. The agents' preferences depend both …

The monotone satisfiability problem with bounded variable appearances

A Darmann, J Döcker, B Dorn - International Journal of Foundations …, 2018 - World Scientific
The prominent Boolean formula satisfiability problem SAT is known to be 𝒩 𝒫-complete
even for very restricted variants such as 3-SAT, Monotone 3-SAT, or Planar 3-SAT, or …

[HTML][HTML] Orthogonal layout with optimal face complexity

MJ Alam, SG Kobourov, D Mondal - Computational Geometry, 2017 - Elsevier
We study a problem motivated by rectilinear schematization of geographic maps. Given a
biconnected plane graph G and an integer k≥ 0, does G have a strict-orthogonal drawing …

Characterizing Boolean satisfiability variants

F Antunes Filho, I Tadeu - 2019 - dspace.mit.edu
We survey variants of the Boolean Satisfiability problem from over the years and organize
them in what we believe to be the most comprehensive list of known results in SAT variants …

[HTML][HTML] Polygon simplification by minimizing convex corners

Y Bahoo, S Durocher, JM Keil, D Mondal… - Theoretical Computer …, 2019 - Elsevier
Let P be a polygon with r> 0 reflex vertices and possibly with holes and islands (ie,
components of the polygon inside holes). A subsuming polygon of P is a polygon P′ such …

The computational complexity of fire emblem series and similar tactical role-playing games

J Gao - arXiv preprint arXiv:1909.07816, 2019 - arxiv.org
Fire Emblem (FE) is a popular turn-based tactical role-playing game (TRPG) series on the
Nintendo gaming consoles. This paper studies the computational complexity of a simplified …

Reconstruction of weakly simple polygons from their edges

HA Akitaya, CD Tóth - International Journal of Computational …, 2018 - World Scientific
We address the problem of reconstructing a polygon from the multiset of its edges. Given n
line segments in the plane, find a polygon with n vertices whose edges are these segments …