Enumeration of enumeration algorithms

K Wasa - arXiv preprint arXiv:1605.05102, 2016 - arxiv.org
arXiv:1605.05102v2 [cs.DS] 25 May 2016 Page 1 arXiv:1605.05102v2 [cs.DS] 25 May 2016
Enumeration of Enumeration Algorithms Kunihiro Wasa∗ May 26, 2016 Abstract In this paper …

[PDF][PDF] Order-theoretic characteristics and dynamic programming for Precedence Constrained Traveling Salesman Problem

Y Salii - Russian Finnish Symposium on Discrete Mathematics, 2017 - researchgate.net
This report details the reasons for and our experience of applying the relation-and order-
theoretical methods to quantifying the feasibility of solving precedence-constrained traveling …

[PDF][PDF] Characterizing posets with more linear extensions than ideals

P Garcıa-Segador, P Miranda… - Australasian Journal of …, 2023 - ajc.maths.uq.edu.au
Two of the most important invariants associated with a poset P are the number of linear
extensions, e (P), and the number of order ideals, i (P). Many important techniques to …

Compression with wildcards: From CNFs to orthogonal DNFs by imposing the clauses one-by-one

M Wild - The Computer Journal, 2022 - academic.oup.com
We present a novel technique for converting a Boolean conjunctive normal form (CNF) into
an orthogonal disjunctive normal form (DNF), aka exclusive sum of products. Our method …

Modular lattices of finite length (Part A)

M Wild - arXiv preprint arXiv:2201.10815, 2022 - arxiv.org
This is Part A of four Parts dedicated to modular lattices of finite length. It builds on 1992
notes of the author (available on ResearchGate), and in so doing heeds a wish of the late …

How to partition or count an abstract simplicial complex, given its facets

M Wild - arXiv preprint arXiv:1302.1039, 2013 - arxiv.org
Given are the facets of an abstract (finite) simplicial complex SC. We show how to partition
SC into few pieces, each one compactly encoded by the use of wildcards. Such a …

Skyline Groups Are Ideals. An Efficient Algorithm for Enumerating Skyline Groups

S Coumes, T Bouadi, L Nourine, A Termier - … Ottawa, ON, Canada, July 5–7 …, 2021 - Springer
Skyline queries are multicriteria queries that are of great interest for decision applications.
Skyline Groups extend the idea of skyline to groups of objects. In the recent years, several …

[PDF][PDF] Revisiting the enumeration of all models of a Boolean 2-CNF

M Wild - arXiv preprint arXiv:1208.2559, 2012 - Citeseer
It is known that all models of a 2-CNF formula can be enumerated in output-polynomial time,
yet both the approach of Kawadias-Sideri 1998 (abstract oracle-scheme) and the one of …

[PDF][PDF] Некоторые методы решения маршрутных задач с условиями предшествования: диссертация на соискание ученой степени кандидата физико …

ЯВ Салий - 2018 - elar.urfu.ru
Рассматриваемые в диссертации задачи допустимо полагать обобщениями широко
известной задачи коммивояжера (Traveling Salesman Problem), далее TSP: требуется …

An efficient data structure for counting all linear extensions of a poset, calculating its jump number, and the likes

M Wild - arXiv preprint arXiv:1704.07708, 2017 - arxiv.org
Achieving the goals in the title (and others) relies on a cardinality-wise scanning of the
ideals of the poset. Specifically, the relevant numbers attached to the k+ 1 element ideals …