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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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Harmonious Coloring on Subclasses of Colinear Graphsar graphs. Moreover, we provide a polynomial solution for the harmonious coloring problem for the class of split strongly chordal graphs, the interest of which lies on the fact that the problem has been proved to be NP-complete on both split and strongly chordal graphs.
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Crossings between Curves with Many Tangenciesove every curve in . and that there are . pairs of curves, one from . and the other from ., that are tangent to each other. Then the number of proper crossings among the members of . is at least (1/2 − .(1)). ln .. This bound is almost tight.
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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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