Geodesic
On-Line Computation and Maximum-Weighted Hereditary Subgraph Problems
Yugoslav journal of operations research, Tome 21 (2011) no. 1, p. 11 .

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In this paper we study the on-line version of maximum-weighted hereditary subgraph problems. In our on-line model, the final instance (a graph with $n$ vertices) is revealed in $t$ clusters, $2 \leq t \leq n$ . We first focus on an on-line version of the maximum- weighted hereditary subgraph problem. Then, we deal with the particular case of the independent set problem. We are interested in two types of results: the competitive ratio guaranteed by the on-line algorithm and hardness results that account for the difficulty of the problems and for the quality of algorithms developed to solve them.
Classification : 68Q25, 68W40, 90C27, 90C35
Keywords: On-line algorithms, hereditary property, independent set, competitive ratio. 
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Marc Demange; Bernard Kouakou; Eric Soutif. On-Line Computation and Maximum-Weighted Hereditary Subgraph Problems. Yugoslav journal of operations research, Tome 21 (2011) no. 1, p. 11 . http://geodesic.mathdoc.fr/item/YJOR_2011_21_1_a1/