Title
Robust recoverable perfect matchings
Abstract
We study perfect matchings M in graphs G that have the two properties of being robust as well as recoverable; where robust means that the failure of a set F' of not too many edges of G can be compensated, and recoverable means that this compensation can be done in an efficient way, that is, G-F' has a perfect matching M' for which the symmetric difference of M and M' is small. We establish the hardness of several related algorithmic problems and identify some tractable cases. Among others we show the hardness of the well known matching preclusion number of a graph. © 2015 Wiley Periodicals, Inc. NETWORKS, Vol. 663, 210-213 2015
Year
DOI
Venue
2015
10.1002/net.21624
Networks
Keywords
Field
DocType
matching,matching preclusion,robustness,recoverability
Symmetric difference,Discrete mathematics,Graph,Mathematical optimization,Combinatorics,Matching preclusion,Matching (graph theory),Robustness (computer science),Mathematics
Journal
Volume
Issue
ISSN
66
3
0028-3045
Citations 
PageRank 
References 
2
0.41
16
Authors
6
Name
Order
Citations
PageRank
Mitre Dourado19018.43
Dirk Meierling25611.55
Lucia Draque Penso319620.46
Dieter Rautenbach4946138.87
Fábio Protti535746.14
Aline Ribeiro de Almeida661.58