Stefano Leucci

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Let G be an unweighted n-node undirected graph. A βadditive spanner of G is a spanning subgraph H of G such that distances in H are stretched at most by an additive term β w.r.t. the corresponding distances in G. A natural research goal related with spanners is that of designing sparse spanners with low stretch. In this paper, we focus on fault-tolerant(More)
The resiliency of a network is its ability to remain effectively functioning also when any of its nodes or links fails. However, to reduce operational and set-up costs, a network should be small in size, and this conflicts with the requirement of being resilient. In this paper we address this trade-off for the prominent case of the broadcasting routing(More)
Let G be an n-node and m-edge positively real-weighted undirected graph. For any given integer f ≥ 1, we study the problem of designing a sparse f-edge-fault-tolerant (f -EFT) σ-approximate single-source shortest-path tree (σ-ASPT), namely a subgraph of G having as few edges as possible and which, following the failure of a set F of at most f edges in G,(More)
The twenty-first century has seen the rise of a new type of video games targeted at a mass audience of “casual” gamers. Many of these games require the player to swap items in order to form matches of three and are collectively known as tile-matching match-three games. Among these, the most influential one is arguably Bejeweled in which the(More)
Let be given a graph G = (V,E) whose edge set is partitioned into a set R of red edges and a set B of blue edges, and assume that red edges are weighted and form a spanning tree of G. Then, the Stackelberg Minimum Spanning Tree (StackMST) problem is that of pricing (i.e., weighting) the blue edges in such a way that the total weight of the blue edges(More)
In this paper we study a generalization of the classic network creation game in the scenario in which the n players sit on a given arbitrary host graph, which constrains the set of edges a player can activate at a cost of α ≥ 0 each. This finds its motivations in the physical limitations one can have in constructing links in practice, and it has been(More)
Network creation games have been extensively studied, both by economists and computer scientists, due to their versatility in modeling individual-based community formation processes. These processes, in turn, are the theoretical counterpart of several economics, social, and computational applications on the Internet. In their several variants, these games(More)