There is no 16-clue Sudoku: Solving the Sudoku minimum number of clues problem via hitting set enumeration

G McGuire, B Tugemann, G Civario - Experimental Mathematics, 2014 - Taylor & Francis
The sudoku minimum number of clues problem is the following question: what is the
smallest number of clues that a sudoku puzzle can have? For several years it had been …

A kernelization algorithm for d-hitting set

FN Abu-Khzam - Journal of Computer and System Sciences, 2010 - Elsevier
For a given parameterized problem, π, a kernelization algorithm is a polynomial-time pre-
processing procedure that transforms an arbitrary instance of π into an equivalent one …

MHS2: A Map-Reduce Heuristic-Driven Minimal Hitting Set Search Algorithm

N Cardoso, R Abreu - … Tools: International Conference, MUSEPAT 2013, St …, 2013 - Springer
Computing minimal hitting sets (also known as set covers) for a collection of sets is an
important problem in many domains (eg, model/reasoning-based fault diagnosis). Being an …

Kernelization algorithms for d-hitting set problems

FN Abu-Khzam - Algorithms and Data Structures: 10th International …, 2007 - Springer
A kernelization algorithm for the 3-Hitting-Set problem is presented along with a general
kernelization for d-Hitting-Set problems. For 3-Hitting-Set, a quadratic kernel is obtained by …

A Kernelisation Approach for Multiple d-Hitting Set and Its Application in Optimal Multi-Drug Therapeutic Combinations

D Mellor, E Prieto, L Mathieson, P Moscato - PLoS One, 2010 - journals.plos.org
Therapies consisting of a combination of agents are an attractive proposition, especially in
the context of diseases such as cancer, which can manifest with a variety of tumor types in a …

Kernels for below-upper-bound parameterizations of the hitting set and directed dominating set problems

G Gutin, M Jones, A Yeo - Theoretical Computer Science, 2011 - Elsevier
In the Hitting Set problem, we are given a collection F of subsets of a ground set V and an
integer p, and asked whether V has a p-element subset that intersects each set in F. We …

A distributed approach to diagnosis candidate generation

N Cardoso, R Abreu - Progress in Artificial Intelligence: 16th Portuguese …, 2013 - Springer
Generating diagnosis candidates for a set of failing transactions is an important challenge in
the context of automatic fault localization of both software and hardware systems. Being an …

Approximation of frequent itemset border by computing approximate minimal hypergraph transversals

N Durand, M Quafafou - … , DaWaK 2014, Munich, Germany, September 2-4 …, 2014 - Springer
In this paper, we present a new approach to approximate the negative border and the
positive border of frequent itemsets. This approach is based on the transition from a border …

Using the BSP model on Clouds

D Cordeiro, A Goldman, A Kraemer… - Cloud computing and …, 2013 - ebooks.iospress.nl
Nowadays the concepts and infrastructures of Cloud Computing are becoming a standard
for several applications. Scalability is not only a buzzword anymore, but is being used …

Frequent itemset border approximation by dualization

N Durand, M Quafafou - Transactions on Large-Scale Data-and …, 2016 - Springer
The approach FIBAD is introduced with the purpose of computing approximate borders of
frequent itemsets by leveraging dualization and computation of approximate minimal …