Titlebook: LATIN 2014: Theoretical Informatics; 11th Latin American Alberto Pardo,Alfredo Viola Conference proceedings 2014 Springer-Verlag Berlin He

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A Randomized Incremental Approach for the Hausdorff Voronoi Diagram of Non-crossing Clustersime and expected .(.) space, which considerably improves previous results. Our technique efficiently handles non-standard characteristics of generalized Voronoi diagrams, such as sites of non-constant complexity, sites that are not enclosed in their Voronoi regions, and empty Voronoi regions.

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Smooth Orthogonal Drawings of Planar Graphsraph has an SC.-layout. On the negative side, we demonstrate an infinite family of biconnected 4-planar graphs that require exponential area for an SC.-layout. Finally, we present an infinite family of biconnected 4-planar graphs that do not admit an SC.-layout.

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Hierarchical Complexity of 2-Clique-Colouring Weakly Chordal Graphs and Perfect Graphs Having Clique having size at least 3 [J. Algorithms 45 (2002), 40–54], proving that it is a .-complete problem. We then determine a hierarchy of nested subclasses of perfect graphs with all cliques having size at least 3 whereby each graph class is in a distinct complexity class, namely .-complete, .-complete, and ..

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Conference proceedings 2014y, in March/April 2014. The 65 papers presented together with 5 abstracts were carefully reviewed and selected from 192 submissions. The papers address a variety of topics in theoretical computer science with a certain focus on complexity, computational geometry, graph drawing, automata, computabili

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