[HTML][HTML] Computational aspects of monotone dualization: A brief survey
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 …
(CNF) is a problem which, in different disguise, is ubiquitous in many areas including …
Efficient enumeration of maximal k-plexes
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 …
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 …
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 …
incremental polynomial, hence output polynomial, time. Enumeration of minimal dominating …
An incremental polynomial time algorithm to enumerate all minimal edge dominating sets
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 …
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 …
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
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 …
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 …
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 …
\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
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 …
polyhedron, given by its description as a system of linear inequalities. Recently, a number of …