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Titlebook: WALCOM: Algorithms and Computation; Third International Sandip Das,Ryuhei Uehara Conference proceedings 2009 Springer-Verlag Berlin Heidel

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Shortest Gently Descending Pathsgeneralization of the shortest descending path problem, called the . problem, where a path descends, but not too steeply. The additional constraint to disallow a very steep descent makes the paths more realistic in practice. We give two approximation algorithms (more precisely, FPTASs) to solve the SGDP problem on general terrains.
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Improved Algorithm for a Widest 1-Corner Corridor link is an unbounded trapezium bounded by two parallel half-lines, and it does not contain any point of .. We present an improved algorithm for computing the widest empty 1-corner corridor that runs in .(..log..) time and .(..) space. This improves the time complexity of the best known algorithm for the same problem by a factor of .[4].
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Recognition of Unigraphs through Superposition of Graphs (Extended Abstract)duced: vertex set is partitioned into three disjoint sets while edge set is divided into two different classes. This characterization allows us to design a linear time recognition algorithm that works recursively pruning the degree sequence of the graph. The algorithm detects two particular graphs whose superposition generates the given unigraph.
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Random Generation and Enumeration of Proper Interval Graphsng it, a simple algorithm that generates a connected proper interval graph uniformly at random up to isomorphism is presented. Finally an enumeration algorithm of connected proper interval graphs is proposed. The algorithm is based on the reverse search, and it outputs each connected proper interval graph in . time.
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