Geodesic
On-line models and algorithms for max independent set
RAIRO - Operations Research - Recherche Opérationnelle, Tome 40 (2006) no. 2, pp. 129-142

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In on-line computation, the instance of the problem dealt is not entirely known from the beginning of the solution process, but it is revealed step-by-step. In this paper we deal with on-line independent set. On-line models studied until now for this problem suppose that the input graph is initially empty and revealed either vertex-by-vertex, or cluster-by-cluster. Here we present a new on-line model quite different to the ones already studied. It assumes that a superset of the final graph is initially present (in our case the complete graph on the order n of the final graph) and edges are progressively removed until the achievement of the final graph. Next, we revisit the model introduced in [Demange, Paradon and Paschos, Lect. Notes Comput. Sci. 1963 (2000) 326-334] and study relaxations assuming that some paying backtracking is allowed.

DOI : 10.1051/ro:2006014
Classification : 05C69, 68Q25, 68W25
Keywords: approximation algorithms, competitive ratio, maximum independent set, on-line algorithms 
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     author = {Escoffier, Bruno and Paschos, Vangelis Th.},
     title = {On-line models and algorithms for max independent set},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {129--142},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {2},
     year = {2006},
     doi = {10.1051/ro:2006014},
     mrnumber = {2272683},
     zbl = {1110.68170},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2006014/}
}
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Escoffier, Bruno; Paschos, Vangelis Th. On-line models and algorithms for max independent set. RAIRO - Operations Research - Recherche Opérationnelle, Tome 40 (2006) no. 2, pp. 129-142. doi: 10.1051/ro:2006014

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