Titlebook: Algorithms and Data Structures; 12th International S Frank Dehne,John Iacono,Jörg-Rüdiger Sack Conference proceedings 2011 Springer-Verlag

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Zusammenfassung und Perspektiven,We give an algorithm to create orthogonal drawings of 3-connected 3-regular planar graphs such that each interior face of the graph is drawn with a prescribed area. This algorithm produces a drawing with at most 12 corners per face and 4 bends per edge, which improves the previous known result of 34 corners per face.

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Orthogonal Cartograms with Few Corners Per Face,We give an algorithm to create orthogonal drawings of 3-connected 3-regular planar graphs such that each interior face of the graph is drawn with a prescribed area. This algorithm produces a drawing with at most 12 corners per face and 4 bends per edge, which improves the previous known result of 34 corners per face.

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Feedback Vertex Set in Mixed Graphs,A mixed graph is a graph with both directed and undirected edges. We present an algorithm for deciding whether a given mixed graph on . vertices contains a feedback vertex set (FVS) of size at most ., in time .(47.5. ·.! ·..). This is the first fixed parameter tractable algorithm for FVS that applies to both directed and undirected graphs.

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Zusammenfassung und Perspektiven,... Equivalently, it is the minimum number of interval graphs on the vertex set . such that the intersection of their edge sets is .. It is known that boxicity cannot be approximated even for graph classes like bipartite, co-bipartite and split graphs below .(..)-factor, for any . > 0 in polynomial

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Entstehung und Entwicklung des Konflikts,uclidean minimum spanning tree. Their algorithm constructs embeddings with exponential area; however, the authors conjectured that .. ×.. area is sometimes required to embed an .-vertex tree of maximum degree 5 as a Euclidean minimum spanning tree, for some constant . > 1. In this paper, we prove th

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