Titlebook: Algorithmsand Complexity; 12th International C Tiziana Calamoneri,Federico Corò Conference proceedings 2021 Springer Nature Switzerland AG

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The Multi-budget Maximum Weighted Coverage Problemset . of bins where any . is a subset of elements of .. Each bin . has its own cost, and each element its own weight. An outcome is a vector . where each budget ., for ., can be used to buy a subset of bins . of overall cost at most .. The objective is to maximize the total weight which is defined a

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A Tight Lower Bound for Edge-Disjoint Paths on Planar DAGspaths . in . such that . connects . to . for each .. Unlike their undirected counterparts which are FPT (parameterized by .) from Graph Minor theory, both the edge-disjoint and vertex-disjoint versions in directed graphs were shown by Fortune et al. (TCS ’80) to be NP-hard for .. This strong hardnes

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On 2-Clubs in Graph-Based Data Clustering: Theory and Algorithm Engineeringre the clusters shall be cliques, we focus on clusters that shall be 2-clubs, that is, subgraphs of diameter at most two. This naturally leads to the two NP-hard problems . (the editing operations are edge insertion and edge deletion) and . (the editing operations are vertex deletions). Answering an

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,Das Kapital in der Wirtschaft Robinson’s,ordal graph has a vertex that intersects all longest paths (resp., longest cycles). It is an open problem [Balister et al., Comb. Probab. Comput. 2004] whether the same holds for chordal graphs. Similarly, we show that every connected well-partitioned chordal graph admits a (polynomial-time construc

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