Invited Contributions.- (Un)-Stable Routing in the Internet: A Survey from the Algorithmic Perspective.- Memory Efficient Anonymous Graph Exploration.- Algorithmic Meta Theorems.- Regular Papers.- A Most General Edge Elimination Polynomial.- Approximating the Metric TSP in Linear Time.- The Valve Location Problem in Simple Network Topologies.- A 3/2-Approximation Algorithm for Finding Spanning Trees with Many Leaves in Cubic Graphs.- On the Pseudo-achromatic Number Problem.- Making Role Assignment Feasible: A Polynomial-Time Algorithm for Computing Ecological Colorings.- Faster Exact Bandwidth.- Additive Spanners for Circle Graphs and Polygonal Graphs.- Upward Straight-Line Embeddings of Directed Graphs into Point Sets.- Complexity of the Packing Coloring Problem for Trees.- Characterizations of Restricted Pairs of Planar Graphs Allowing Simultaneous Embedding with Fixed Edges.- A Lower Bound on the Area Requirements of Series-Parallel Graphs.- On Independent Sets and Bicliques in Graphs.- Evaluations of Graph Polynomials.- Parameterized Complexity for Domination Problems on Degenerate Graphs.- An Algorithm for Finding Input-Output Constrained Convex Sets in an Acyclic Digraph.- Cutwidth of Split Graphs, Threshold Graphs, and Proper Interval Graphs.- The Rank-Width of the Square Grid.- Improved Upper Bounds for Partial Vertex Cover.- On the Expressive Power of CNF Formulas of Bounded Tree- and Clique-Width.- Planar Feedback Vertex Set and Face Cover: Combinatorial Bounds and Subexponential Algorithms.- What Is between Chordal and Weakly Chordal Graphs?.- Parameterized Graph Cleaning Problems.- Traffic Grooming in Unidirectional WDM Rings with Bounded Degree Request Graph.- Fast Robber in Planar Graphs.- From a Circular-Arc Model to a Proper Circular-Arc Model.- DigraphDecompositions and Monotonicity in Digraph Searching.- Searching for a Visible, Lazy Fugitive.- A Faster Shortest-Paths Algorithm for Minor-Closed Graph Classes.- Local Construction and Coloring of Spanners of Location Aware Unit Disk Graphs.

This book constitutes the thoroughly refereed post-conference proceedings of the 34th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2008, held in Durham, UK, in June/July 2008. The 30 revised full papers presented together with 3 invited paper were carefully reviewed and selected from 76 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, e.g. 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 support of these concepts by suitable implementations.

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