Outputs (84)

Computing Role Assignments of Proper Interval Graphs in Polynomial Time (2011)
Presentation / Conference Contribution
Heggernes, P., Hof, V. P., & Paulusma, D. (2011, December). Computing Role Assignments of Proper Interval Graphs in Polynomial Time. Presented at 21st International Workshop on Combinatorial Algorithms, IWOCA 2010, London

A homomorphism from a graph G to a graph R is locally surjective if its restriction to the neighborhood of each vertex of G is surjective. Such a homomorphism is also called an R-role assignment of G. Role assignments have applications in distributed... Read More about Computing Role Assignments of Proper Interval Graphs in Polynomial Time.

Contracting a chordal graph to a split graph or a tree (2011)
Presentation / Conference Contribution
Golovach, P. A., Kaminski, M., & Paulusma, D. (2011, December). Contracting a chordal graph to a split graph or a tree. Presented at 36th International Symposium on Mathematical Foundations of Computer Science 2011, MFCS 2011, Warsaw, Poland

The problems Contractibility and Induced Minor are to test whether a graph G contains a graph H as a contraction or as an induced minor, respectively. We show that these two problems can be solved in |VG|f(|VH|)VGf(VH) time if G is a chordal input gr... Read More about Contracting a chordal graph to a split graph or a tree.

Rapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-Width (2011)
Book Chapter
Bordewich, M., & Kang, R. (2011). Rapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-Width. In L. Aceto, M. Henzinger, & J. Sgall (Eds.), Automata, languages and programming (533-544). Springer Verlag. https://doi.org/10.1007/978-3-642-22006-7_45

Motivated by the ‘subgraphs world’ view of the ferromagnetic Ising model, we develop a general approach to studying mixing times of Glauber dynamics based on subset expansion expressions for a class of graph polynomials. With a canonical paths argume... Read More about Rapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-Width.

An intersection model for multitolerance graphs: Efficient algorithms and hierarchy (2011)
Presentation / Conference Contribution
Mertzios, G. (2011, January). An intersection model for multitolerance graphs: Efficient algorithms and hierarchy. Presented at ACM-SIAM Symposium on Discrete Algorithms (SODA), San Francisco, California USA

Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in con ict. This class of graphs has attracted many research eorts, mainly due to its interesting structure and its numerous... Read More about An intersection model for multitolerance graphs: Efficient algorithms and hierarchy.

On Finding Paths Passing through Specified Vertices (2011)
Report
Paulusma, D. (2011). On Finding Paths Passing through Specified Vertices. [No known commissioning body]

We consider undirected finite graphs that have no loops and no multiple edges. A graph is denoted G = (VG, EG), where VG is the set of vertices and EG is the set of edges. A graph containment problem is to decide whether one graph can be modified int... Read More about On Finding Paths Passing through Specified Vertices.

The computational complexity of Disconnected Cut and 2K2-Partition (2011)
Presentation / Conference Contribution
Martin, B., & Paulusma, D. (2011, December). The computational complexity of Disconnected Cut and 2K2-Partition. Presented at Principles and Practice of Constraint Programming, 17th International Conference, CP 2011, Perugia, Italy

For a connected graph G = (V,E), a subset U ⊆ V is called a disconnected cut if U disconnects the graph and the subgraph induced by U is disconnected as well. We show that the problem to test whether a graph has a disconnected cut is NP-complete. Thi... Read More about The computational complexity of Disconnected Cut and 2K2-Partition.

List coloring in the absence of a linear forest (2011)
Presentation / Conference Contribution
Couturier, J. F., Golovach, P. A., Kratsch, D., & Paulusma, D. (2011, December). List coloring in the absence of a linear forest. Presented at 37th International Workshop on Graph Theoretic Concepts in Computer Science, WG 2011, Tepla Monastery, Czech Republic

The k-Coloring problem is to decide whether a graph can be colored with at most k colors such that no two adjacent vertices receive the same color. The List k -Coloring problem requires in addition that every vertex u must receive a color from some g... Read More about List coloring in the absence of a linear forest.

The Recognition of Triangle Graphs (2011)
Presentation / Conference Contribution
Mertzios, G. (2011, December). The Recognition of Triangle Graphs. Presented at 28th International Symposium on Theoretical Aspects of Computer Science (STACS), Dortmund, Germany

Trapezoid graphs are the intersection graphs of trapezoids, where every trapezoid has a pair of opposite sides lying on two parallel lines L_{1} and L_{2} of the plane. Strictly between permutation and trapezoid graphs lie the simple-triangle graphs... Read More about The Recognition of Triangle Graphs.

Computing vertex-surjective homomorphisms to partially reflexive trees (2011)
Presentation / Conference Contribution
Golovach, P. A., Paulusma, D., & Song, J. (2011, December). Computing vertex-surjective homomorphisms to partially reflexive trees. Presented at 6th International Computer Science Symposium in Russia, CSR 2011., St Petersburg, Russia

Coloring graphs without short cycles and long induced paths (2011)
Presentation / Conference Contribution
Golovach, P. A., Paulusma, D., & Song, J. (2011, December). Coloring graphs without short cycles and long induced paths. Presented at Fundamentals of Computation Theory, 18th International Symposium, FCT 2011, Oslo, Norway

The girth of a graph G is the length of a shortest cycle in G. For any fixed girth g ≥ 4 we determine a lower bound ℓ(g) such that every graph with girth at least g and with no induced path on ℓ(g) vertices is 3-colorable. In contrast, we show the ex... Read More about Coloring graphs without short cycles and long induced paths.