Title
Reoptimization Under Vertex Insertion: Max P-K-Free Subgraph And Max Planar Subgraph
Abstract
The reoptimization issue studied in this paper can be described as follows: given an instance I of some problem Pi, an optimal solution OPT in I and an instance I' resulting from a local perturbation of I that consists of insertions or removals of a small number of data, we wish to use OPT to solve Pi in I', either optimally or by guaranteeing an approximation ratio better than that guaranteed by an ex nihilo computation and with running time better than that needed for such a computation. We use this setting to study weighted versions of MAX P-k-FREE Subgraph and MAX PLANAR SUBGRAPH, which are representatives of a broad class of problems known in the literature as maximum induced hereditary subgraph problems. We also show that the techniques presented allow us to handle BIN PACKING.
Year
DOI
Venue
2013
10.1142/S1793830913600045
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
Field
DocType
Volume
Discrete mathematics,Combinatorics,Vertex (geometry),Induced subgraph isomorphism problem,Planar,Subgraph isomorphism problem,Bin packing problem,Mathematics,Computation
Journal
5
Issue
ISSN
Citations 
2
1793-8309
1
PageRank 
References 
Authors
0.35
11
3
Name
Order
Citations
PageRank
Nicolas Boria1597.23
Jérôme Monnot251255.74
Vangelis Th. Paschos363363.97