-Bubble Model for Mixed Unit Interval Graphs and Its Applications: The MaxCut Problem Revisited

J Kratochvíl, T Masařík, J Novotná - Algorithmica, 2021‏ - Springer
Interval graphs, intersection graphs of segments on a real line (intervals), play a key role in
the study of algorithms and special structural properties. Unit interval graphs, their proper …

A strong integer programming formulation for hybrid flowshop scheduling

AT Ünal, S Ağralı, ZC Taşkın - Journal of the Operational Research …, 2020‏ - Taylor & Francis
We consider a hybrid flowshop scheduling problem that includes parallel unrelated discrete
machines or batch processing machines in different stages of a production system. The …

A polynomial-time algorithm for the maximum cardinality cut problem in proper interval graphs

A Boyacı, T Ekim, M Shalom - Information Processing Letters, 2017‏ - Elsevier
It is known that the maximum cardinality cut problem is NP-hard even in chordal graphs. On
the positive side, the problem is known to be polynomial time solvable in some subclasses …

A Simple Polynomial Time Algorithm for Max Cut on Laminar Geometric Intersection Graphs

U Joshi, S Rahul, JJ Thoppil - 42nd IARCS Annual Conference …, 2022‏ - drops.dagstuhl.de
In a geometric intersection graph, given a collection of n geometric objects as input, each
object corresponds to a vertex and there is an edge between two vertices if and only if the …

Canonical cuts of path powers

L Alcon, L Faria, C Figueiredo, M Gutierrez… - Contributions to …, 2024‏ - cdm.ucalgary.ca
The MaxCut problem aims to find a bipartition of vertices in a given graph such that the
number of edges with one end vertex in each part is maximum among all bipartitions. NP …

On Tuza's conjecture in co-chain graphs

L Chahua, J Gutiérrez - arxiv preprint arxiv:2211.07766, 2022‏ - arxiv.org
In 1981, Tuza conjectured that the cardinality of a minimum set of edges that intersects every
triangle of a graph is at most twice the cardinality of a maximum set of edge-disjoint …

On the maximum cardinality cut problem in proper interval graphs and related graph classes

A Boyacı, T Ekim, M Shalom - Theoretical Computer Science, 2022‏ - Elsevier
Although it has been claimed in two different papers that the maximum cardinality cut
problem is polynomial-time solvable for proper interval graphs, both of them turned out to be …

On Tuza's conjecture in even co-chain graphs

L Chahua, J Gutiérrez - Encontro de Teoria da Computação (ETC), 2022‏ - sol.sbc.org.br
In 1981, Tuza conjectured that the cardinality of a minimum set of edges that intersects every
triangle of a graph is at most twice the cardinality of a maximum set of edge-disjoint …

A Maximum Cardinality Cut Algorithm for Co-bipartite and Split Graphs Using Bimodular Decomposition

A Boyacı, M Shalom - Turkish Journal of Mathematics and Computer …, 2021‏ - dergipark.org.tr
The maximum cardinality cut (MaxCut) problem remains NP-complete for co-bipartite graphs
andfor split graphs. Based on modular decomposition, in [3] it is shown that MaxCut is …

Computational and structural apects of interval graphs and their variants

J Novotná - 2019‏ - dspace.cuni.cz
Interval graphs, intersection graphs of segments on a real line (intervals), play a key role in
the study of algorithms and special structural properties. Unit interval graphs, their proper …