[HTML][HTML] Computational aspects of monotone dualization: A brief survey

T Eiter, K Makino, G Gottlob - Discrete Applied Mathematics, 2008 - Elsevier
Dualization of a monotone Boolean function represented by a conjunctive normal form
(CNF) is a problem which, in different disguise, is ubiquitous in many areas including …

Efficient enumeration of maximal k-plexes

D Berlowitz, S Cohen, B Kimelfeld - Proceedings of the 2015 ACM …, 2015 - dl.acm.org
The problem of enumerating (ie, generating) all maximal cliques in a graph has received
extensive treatment, due to the plethora of applications in various areas such as data …

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 …

[HTML][HTML] Enumerating minimal dominating sets in chordal bipartite graphs

PA Golovach, P Heggernes, MM Kanté… - Discrete Applied …, 2016 - Elsevier
We show that all minimal dominating sets of a chordal bipartite graph can be generated in
incremental polynomial, hence output polynomial, time. Enumeration of minimal dominating …

An incremental polynomial time algorithm to enumerate all minimal edge dominating sets

PA Golovach, P Heggernes, D Kratsch, Y Villanger - Algorithmica, 2015 - Springer
We show that all minimal edge dominating sets of a graph can be generated in incremental
polynomial time. We present an algorithm that solves the equivalent problem of enumerating …

[HTML][HTML] On the complexity of monotone dualization and generating minimal hypergraph transversals

KM Elbassioni - Discrete Applied Mathematics, 2008 - Elsevier
In 1994 Fredman and Khachiyan established the remarkable result that the duality of a pair
of monotone Boolean functions, in disjunctive normal forms, can be tested in quasi …

On the neighbourhood helly of some graph classes and applications to the enumeration of minimal dominating sets

MM Kanté, V Limouzy, A Mary, L Nourine - Algorithms and Computation …, 2012 - Springer
We prove that line graphs and path graphs have bounded neighbourhood Helly. As a
consequence, we obtain output-polynomial time algorithms for enumerating the set of …

A global parallel algorithm for the hypergraph transversal problem

L Khachiyan, E Boros, K Elbassioni… - Information Processing …, 2007 - Elsevier
We consider the problem of finding all minimal transversals of a hypergraph H⊆ 2V, given
by an explicit list of its hyperedges. We give a new decomposition technique for solving the …

A new algorithm for the hypergraph transversal problem

L Khachiyan, E Boros, K Elbassioni… - International Computing …, 2005 - Springer
We consider the problem of finding all minimal transversals of a hypergraph
\mathcalH⊆2^V, given by an explicit list of its hyperedges. We give a new decomposition …

[PDF][PDF] Generating vertices of polyhedra and related problems of monotone generation

E Boros, K Elbassioni, V Gurvich… - CRM Proceedings and …, 2009 - academia.edu
The well-known vertex enumeration problem calls for generating all vertices of a
polyhedron, given by its description as a system of linear inequalities. Recently, a number of …