IMPROVED APPROXIMATION OF MAXIMUM VERTEX COVERAGE PROBLEM ON BIPARTITE GRAPHS (Articolo in rivista)

Type
Label
  • IMPROVED APPROXIMATION OF MAXIMUM VERTEX COVERAGE PROBLEM ON BIPARTITE GRAPHS (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/130931059 (literal)
Alternative label
  • Apollonio, Nicola; Simeone, Bruno (2014)
    IMPROVED APPROXIMATION OF MAXIMUM VERTEX COVERAGE PROBLEM ON BIPARTITE GRAPHS
    in SIAM journal on discrete mathematics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Apollonio, Nicola; Simeone, Bruno (literal)
Pagina inizio
  • 1137 (literal)
Pagina fine
  • 1151 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 28 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 15 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 3 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Consiglio Nazionale delle Ricerche (CNR); Sapienza University Rome (literal)
Titolo
  • IMPROVED APPROXIMATION OF MAXIMUM VERTEX COVERAGE PROBLEM ON BIPARTITE GRAPHS (literal)
Abstract
  • Given a simple undirected graph G and a positive integer s, the maximum vertex coverage problem (MVC) is the problem of finding a set U of s vertices of G such that the number of edges having at least one endpoint in U is as large as possible. The problem is NP-hard even in bipartite graphs, as shown in two recent papers [N. Apollonio and B. Simeone, Discrete Appl. Math., 165 (2014), pp. 37-48; G. Joret and A. Vetta, Reducing the Rank of a Matroid, preprint, arXiv: 1211.4853v1 [cs.DS], 2012]. By exploiting the structure of the fractional optimal solutions of a linear programming formulation for the maximum coverage problem, we provide a 4/5-approximation algorithm for the problem. The algorithm immediately extends to the weighted version of MVC. (literal)
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