@inproceedings{e02db540e72240b19f20227520934cf5,

title = "The parameterized complexity of centrality improvement in networks",

abstract = "The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality often implies a larger impact on the network or less transportation or administration cost. In this work we study the parameterized complexity of the NP-complete problems Closeness Improvement and Betweenness Improvement in which we ask to improve a given vertex{\textquoteright} closeness or betweenness centrality by a given amount through adding a given number of edges to the network. Herein, the closeness of a vertex v sums the multiplicative inverses of distances of other vertices to v and the betweenness sums for each pair of vertices the fraction of shortest paths going through v. Unfortunately, for the natural parameter “number of edges to add” we obtain hardness results, even in rather restricted cases. On the positive side, we also give an island of tractability for the parameter measuring the vertex deletion distance to cluster graphs.",

author = "Clemens Hoffmann and Hendrik Molter and Manuel Sorge",

note = "Funding Information: MS supported by the People Programme (Marie Curie Actions) of the European Union{\textquoteright}s Seventh Framework Programme (FP7/2007–2013) under REA grant agreement number 631163.11 and the Israel Science Foundation (grant no. 551145/14). Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG.; 44th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2018 ; Conference date: 29-01-2018 Through 02-02-2018",

year = "2018",

month = jan,

day = "1",

doi = "10.1007/978-3-319-73117-9_8",

language = "English",

isbn = "9783319731162",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "111--124",

editor = "Jir{\'i} Wiedermann and Tjoa, {A Min} and Stefan Biffl and Ladjel Bellatreche and {van Leeuwen}, Jan",

booktitle = "SOFSEM 2018",

address = "Germany",

}