[PDF][PDF] Recent Advances in Practical Data Reduction.

FN Abu-Khzam, S Lamm, M Mnich, A Noe… - Algorithms for Big …, 2022 - library.oapen.org
Over the last two decades, significant advances have been made in the design and analysis
of fixed-parameter algorithms for a wide variety of graphtheoretic problems. This has …

Fully polynomial-time parameterized computations for graphs and matrices of low treewidth

FV Fomin, D Lokshtanov, S Saurabh… - ACM Transactions on …, 2018 - dl.acm.org
We investigate the complexity of several fundamental polynomial-time solvable problems on
graphs and on matrices, when the given instance has low treewidth; in the case of matrices …

Connectivity constrains quantum codes

N Baspin, A Krishna - Quantum, 2022 - quantum-journal.org
Quantum low-density parity-check (LDPC) codes are an important class of quantum error
correcting codes. In such codes, each qubit only affects a constant number of syndrome bits …

Fast and optimal extraction for sparse equality graphs

AK Goharshady, CK Lam, L Parreaux - Proceedings of the ACM on …, 2024 - dl.acm.org
Equality graphs (e-graphs) are used to compactly represent equivalence classes of terms in
symbolic reasoning systems. Beyond their original roots in automated theorem proving, e …

[PDF][PDF] Integrating tree decompositions into decision heuristics of propositional model counters

T Korhonen, M Järvisalo - 27th International Conference …, 2021 - researchportal.helsinki.fi
Abstract Propositional model counting (# SAT), the problem of determining the number of
satisfying assignments of a propositional formula, is the archetypical# P-complete problem …

An experimental study of the treewidth of real-world graph data

S Maniu, P Senellart, S Jog - ICDT 2019–22nd International …, 2019 - inria.hal.science
Treewidth is a parameter that measures how tree-like a relational instance is, and whether it
can reasonably be decomposed into a tree. Many computation tasks are known to be …

Constructing optimal contraction trees for tensor network quantum circuit simulation

C Ibrahim, D Lykov, Z He, Y Alexeev… - 2022 IEEE High …, 2022 - ieeexplore.ieee.org
One of the key problems in tensor network based quantum circuit simulation is the
construction of a contraction tree which minimizes the cost of the simulation, where the cost …

Treewidth-aware cycle breaking for algebraic answer set counting

T Eiter, M Hecher, R Kiesel - Proceedings of the International …, 2021 - proceedings.kr.org
Probabilistic reasoning, parameter learning, and most probable explanation inference for
answer set programming have recently received growing attention. They are only some of …

Treewidth-aware reductions of normal ASP to SAT–Is normal ASP harder than SAT after all?

M Hecher - Artificial Intelligence, 2022 - Elsevier
Abstract Answer Set Programming (ASP) is a paradigm for modeling and solving problems
for knowledge representation and reasoning. There are plenty of results dedicated to …

Exploiting database management systems and treewidth for counting

JK Fichte, M Hecher, P Thier… - Theory and Practice of …, 2022 - cambridge.org
Bounded treewidth is one of the most cited combinatorial invariants in the literature. It was
also applied for solving several counting problems efficiently. A canonical counting problem …