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This book constitutes the thoroughly refereed post-proceedings of the 32nd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2006, held in Bergen, Norway in June 2006.
The 30 revised full papers presented together with one invited paper were carefully selected from 91 submissions. The papers address all aspects of graph-theoretic concepts in computer science such as structural graph theory, sequential, parallel, and distributed graph and network algorithms and their complexity, graph grammars and graph rewriting systems, graph-based modeling, graph-drawing and layout, diagram methods, and graph-theoretical applications in various fields.
Treewidth: Characterizations, Applications, and Computations.- Locally Injective Graph Homomorphism: Lists Guarantee Dichotomy.- Generalised Dualities and Finite Maximal Antichains.- Chordal Deletion Is Fixed-Parameter Tractable.- A Fixed-Parameter Algorithm for the Minimum Weight Triangulation Problem Based on Small Graph Separators.- Divide-and-Color.- Listing Chordal Graphs and Interval Graphs.- A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set in Graphs.- Improved Edge-Coloring with Three Colors.- Vertex Coloring of Comparability+ke and –ke Graphs.- Convex Drawings of Graphs with Non-convex Boundary.- How to Sell a Graph: Guidelines for Graph Retailers.- Strip Graphs: Recognition and Scheduling.- Approximating the Traffic Grooming Problem in Tree and Star Networks.- Bounded Arboricity to Determine the Local Structure of Sparse Graphs.- An Implicit Representation of Chordal Comparabilty Graphs in Linear-Time.- Partitioned Probe Comparability Graphs.- Computing Graph Polynomials on Graphs of Bounded Clique-Width.- Generation of Graphs with Bounded Branchwidth.- Minimal Proper Interval Completions.- Monotony Properties of Connected Visible Graph Searching.- Finding Intersection Models of Weakly Chordal Graphs.- A Fully Dynamic Algorithm for the Recognition of P 4-Sparse Graphs.- Clique Graph Recognition Is NP-Complete.- Homogeneity vs. Adjacency: Generalising Some Graph Decomposition Algorithms.- Certifying Algorithms for Recognizing Proper Circular-Arc Graphs and Unit Circular-Arc Graphs.- Graph Labelings Derived from Models in Distributed Computing.- Flexible Matchings.- Simultaneous Graph Embeddings with Fixed Edges.- Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions.- Circular-Perfect Concave-Round Graphs.