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Titlebook: WALCOM: Algorithms and Computation; 4th International Wo Md. Saidur Rahman,Satoshi Fujita Conference proceedings 2010 Springer-Verlag Berli

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A Global ,-Level Crossing Reduction Algorithmossing minimizations, which are still .-hard..We introduce a global crossing reduction, which at any particular time captures all crossings, especially for long edges. Our approach is based on the sifting technique and improves the level-by-level heuristics in the hierarchic framework by a further r
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Constant-Work-Space Algorithm for a Shortest Path in a Simple Polygonalled “computing instead of storing”, we can design a naive quadratic-time algorithm for the problem using only constant work space, i.e., .(log.) bits in total for the work space, where . is the number of nodes in the tree. Then, another technique “controlled recursion” improves the time bound to .
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Small Grid Drawings of Planar Graphs with Balanced Bipartitionrsection. It has been known that every planar graph . of . vertices has a grid drawing on an (. − 2)×(. − 2) integer grid and such a drawing can be found in linear time. In this paper we show that if a planar graph . has a balanced bipartition then . has a grid drawing with small grid area. More pre
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Acyclically 3-Colorable Planar Graphsmaximum degree 4 and we show that there exist infinite classes of cubic planar graphs that are not acyclically 3-colorable. Further, we show that every planar graph has a subdivision with one vertex per edge that is acyclically 3-colorable. Finally, we characterize the series-parallel graphs such th
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