Title
Robustness: a New Form of Heredity Motivated by Dynamic Networks.
Abstract
We investigate a special case of hereditary property in graphs, referred to as robustness. A property (or structure) is called robust in a graph G if it is inherited by all the connected spanning subgraphs of G. We motivate this definition using two different settings of dynamic networks. The first corresponds to networks of low dynamicity, where some links may be permanently removed so long as the network remains connected. The second corresponds to highly-dynamic networks, where communication links appear and disappear arbitrarily often, subject only to the requirement that the entities are temporally connected in a recurrent fashion (i.e. they can always reach each other through temporal paths). Each context induces a different interpretation of the notion of robustness.
Year
DOI
Venue
2019
10.1016/j.tcs.2019.08.008
Theoretical Computer Science
Keywords
Field
DocType
Heredity in graphs,Highly-dynamic networks,Minimal independent sets,Temporal covering structure
Discrete mathematics,Graph,Combinatorics,Graph property,Hereditary property,Robustness (computer science),If and only if,Time complexity,Mathematics,Special case
Journal
Volume
ISSN
Citations 
806
0304-3975
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Arnaud Casteigts140627.35
Swan Dubois214517.21
Franck Petit373660.02
John Michael Robson420618.23