Invited Lectures.- Hypertree Decompositions: Structure, Algorithms, and Applications.- Combinatorial Search on Graphs Motivated by Bioinformatics Applications: A Brief Survey.- Regular Papers.- Domination Search on Graphs with Low Dominating-Target-Number.- Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs.- Approximating Rank-Width and Clique-Width Quickly.- Computing the Tutte Polynomial on Graphs of Bounded Clique-Width.- Minimizing NLC-Width is NP-Complete.- Channel Assignment and Improper Choosability of Graphs.- Computing Treewidth and Minimum Fill-In for Permutation Graphs in Linear Time.- Roman Domination over Some Graph Classes.- Algorithms for Comparability of Matrices in Partial Orders Imposed by Graph Homomorphisms.- Network Discovery and Verification.- Complete Graph Drawings Up to Triangle Mutations.- Collective Tree 1-Spanners for Interval Graphs.- On Stable Cutsets in Claw-Free Graphs and Planar Graphs.- Induced Subgraphs of Bounded Degree and Bounded Treewidth.- Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time.- Ultimate Generalizations of LexBFS and LEX M.- Adding an Edge in a Cograph.- The Computational Complexity of Delay Management.- Acyclic Choosability of Graphs with Small Maximum Degree.- Generating Colored Trees.- Optimal Hypergraph Tree-Realization.- Fixed-Parameter Algorithms for Protein Similarity Search Under mRNA Structure Constraints.- On the Fixed-Parameter Enumerability of Cluster Editing.- Locally Consistent Constraint Satisfaction Problems with Binary Constraints.- On Randomized Broadcasting in Star Graphs.- Finding Disjoint Paths on Directed Acyclic Graphs.- Approximation Algorithms for the Bi-criteria Weighted max-cut Problem.- Approximation Algorithms for the Weighted Independent Set Problem.- Approximation Algorithms for Unit Disk Graphs.- Computation of Chromatic Polynomials Using Triangulations and Clique Trees.- Computing Branchwidth Via Efficient Triangulations and Blocks.- Algorithms Based on the Treewidth of Sparse Graphs.- Extending the Tractability Border for Closest Leaf Powers.- Bounding the Misclassification Error in Spectral Partitioning in the Planted Partition Model.- Algebraic Operations on PQ Trees and Modular Decomposition Trees.- Linear-Time Counting Algorithms for Independent Sets in Chordal Graphs.- Faster Dynamic Algorithms for Chordal Graphs, and an Application to Phylogeny.- Recognizing HHDS-Free Graphs.