Titlebook: Combinatorial Algorithms; 24th International W Thierry Lecroq,Laurent Mouchard Conference proceedings 2013 Springer-Verlag Berlin Heidelber

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Phase Transition of Random Non-uniform Hypergraphs structure before and near the birth of the . component, that is the first connected component with more than one cycle. The model of non-uniform hypergraph studied is a natural generalization of the . defined in the “giant paper” [1]. This paper follows the same general approach based on analytic c

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Expanding the Expressive Power of Monadic Second-Order Logic on Restricted Graph Classess of bounded vertex-cover. The first one shows that the model checking problem for cardMSO., an extension of the well-known Monadic Second-Order logic by the addition of cardinality constraints, can be solved in FPT time parameterized by vertex cover. The second meta-theorem shows that the MSO parti

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Dynamising Interval Scheduling: The Monotonic Caseterval properly contains another interval. We provide two data structures for representing the intervals that allow efficient insertion, removal and various query operations. The first dynamic algorithm, based on the data structure called compatibility forest, runs in amortised time .(log..) for ins

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Structural Properties of Subdivided-Line Graphsed-line graph Γ.(.) of a graph .. We then study structural properties of subdivided-line graphs such as edge-disjoint Hamilton cycles, hub sets, connected dominating sets, and completely independent spanning trees which can be applied to problems on interconnection networks. From our results, the ma

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