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This book constitutes the thoroughly refereed post-workshop proceedings of the 24th International Workshop on Graph-Theoretic Concepts in Computer Science, WG'98, held in Smolenice Castle, Slovak Republic, in June 1998.
The 30 revised full papers presented were carefully selected from a total of 61 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms and graph-theoretic applications in computer science.
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width.- Minus Domination in Small-Degree Graphs.- The Vertex-Disjoint Triangles Problem.- Communication in the Two-Way Listen-in Vertex-Disjoint Paths Mode.- Broadcasting on Anonymous Unoriented Tori.- Families of Graphs Having Broadcasting and Gossiping Properties.- Optical All-to-All Communication in Inflated Networks.- A Generalization of AT-free Graphs and a Generic Algorithm for Solving Treewidth, Minimum Fill-In and Vertex Ranking.- A Polynomial-Time Algorithm for Finding Total Colorings of Partial k-Trees.- Rankings of Directed Graphs.- Drawing Planar Partitions II: HH-Drawings.- Triangles in Euclidean Arrangements.- Internally Typed Second-Order Term Graphs.- Compact Implicit Representation of Graphs.- Graphs with Bounded Induced Distance.- Diameter Determination on Restricted Graph Families.- Independent Tree Spanners.- Upgrading Bottleneck Constrained Forests.- Routing in Recursive Circulant Graphs: Edge Forwarding Index and Hamiltonian Decomposition.- Improved Compressions of Cube-Connected Cycles Networks.- Efficient Embeddings of Grids into Grids.- Integral Uniform Flows in Symmetric Networks.- Splitting Number is NP-Complete.- Tree Spanners in Planar Graphs.- A Linear-Time Algorithm to Find Four Independent Spanning Trees in Four-Connected Planar Graphs.- Linear Algorithms for a k-partition Problem of Planar Graphs without Specifying Bases.- Domination and Steiner Tree Problems on Graphs with Few P 4s.- Minimum Fill-In and Treewidth for Graphs Modularly Decomposable into Chordal Graphs.- Interval Completion with the Smallest Max-Degree.- An Estimate of the Tree-Width of a Planar Graph Which Has Not a Given Planar Grid as a Minor..