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The Cinderella Game on Holes and Anti-holes,inderella can win the game..We determine the bucket numbers of all perfect graphs, and we also derive results on the bucket numbers of certain non-perfect graphs. In particular, we analyze the game on holes and (partially) on anti-holes for the cases where Cinderella sticks to a simple greedy strategy.
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https://doi.org/10.1007/978-3-642-81506-5circular arc graphs, circular .-trapezoid graphs, convex graphs, Dilworth . graphs, .-polygon graphs and complements of .-degenerate graphs. Combined with results in [1,5], this implies that a large class of vertex subset and vertex partitioning problems can be solved in polynomial time on these graph classes.
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Moderne Verfahren der Kryptographiewith no induced .. We also show that ... is fixed parameter tractable in . + . on graphs with no induced .. + .., and that .-. restricted to such graphs allows a polynomial kernel when parameterized by .. Finally, we show that ... is fixed parameter tractable in . for graphs with no induced .. + ...
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https://doi.org/10.1007/978-3-322-84306-7overy. In these inverse problems, the goal is to generate chemical compounds having desired structural properties, as there is a strong correlation between structural properties, such as the Wiener index, which is closely connected to the considered problem, and biological activity.
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