Titlebook: Combinatorial Algorithms; 25th International W Kratochvíl Jan,Mirka Miller,Dalibor Froncek Conference proceedings 2015 Springer Internation

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3-Coloring Triangle-Free Planar Graphs with a Precolored 9-Cycle,Given a triangle-free planar graph . and a cycle . of length 9 in ., we characterize all situations where a 3-coloring of . does not extend to a proper 3-coloring of .. This extends previous results for the length of . up to 8.

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Kratochvíl Jan,Mirka Miller,Dalibor FroncekIncludes supplementary material:

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J. A. J. Metz,A. M. de Roos,F. van den Boschgraphs and .-trees. Little is known, however, about the parameterized complexity of the problem. When parameterized by the vertex cover number of the input graphs, the problem was recently shown to be fixed-parameter tractable. Capitalizing on this result, we show that the problem does not have a po

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https://doi.org/10.1007/978-3-642-74001-5le, undirected graph . and a coloring of the vertices, remove a collection of edges from the graph such that each connected component is . (i.e., it does not contain two identically colored vertices) and the number of edges in the transitive closure of the graph is maximized..The problem is known to

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Setting the Scene for the Sizewell B PWR,elements from the Galois lattice of a bipartite graph is tree-like if and only if the graph is a Bipartite Distance Hereditary graph. We show that the lattice can be realized as the containment relation among directed paths in an arborescence. Moreover, a compact encoding of Bipartite Distance Hered

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https://doi.org/10.1007/978-3-658-28243-1iently: one asymptotically fast; the other very fast on average and in practice. Because the latter approach avoids the computation of global data structures, such as the suffix array and the longest common prefix array, it yields algorithms much faster in practice than existing methods. We show how

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Kastell Mola, Naxos, Melia und Mongiuffi,nary vectors of same length indicating the borders. We characterize precisely which of these vectors are valid border correlations, and establish a one-to-one correspondence between the set of valid border correlations and the set of valid period correlations of a given length, the latter being tern

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René König Schriften. Ausgabe letzter Handrd characters or holes, was recently considered and shown to be in .. Polynomial-time algorithms that construct representations were described using graph theoretical approaches. As more holes are allowed, representations shrink, and if representation is given, the set can be reconstructed. We furth