
A more fine-grained complexity analysis of finding the most vital edges for undirected shortest paths
Bazgan, Cristina; Fluschnik, Till; Nichterlein, André; Niedermeier, Rolf; Stahlberg, Maximilian (2019), A more fine-grained complexity analysis of finding the most vital edges for undirected shortest paths, Networks, 73, 1, p. 23-37. 10.1002/net.21832
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Type
Article accepté pour publication ou publiéDate
2019Journal name
NetworksVolume
73Number
1Publisher
Wiley
Pages
23-37
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Show full item recordAuthor(s)
Bazgan, CristinaLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Fluschnik, Till
Department of Software Engineering and Theoretical Computer Science [SWT - TUB]
Nichterlein, André
Department of Software Engineering and Theoretical Computer Science [SWT - TUB]
Niedermeier, Rolf
Department of Software Engineering and Theoretical Computer Science [SWT - TUB]
Stahlberg, Maximilian
Department of Software Engineering and Theoretical Computer Science [SWT - TUB]
Abstract (EN)
We study the NP‐hard shortest path most vital edges problem arising in the context of analyzing network robustness. For an undirected graph with positive integer edge lengths and two designated vertices s and t, the goal is to delete as few edges as possible in order to increase the length of the (new) shortest st‐path as much as possible. This scenario has been studied from the viewpoint of parameterized complexity and approximation algorithms. We contribute to this line of research by providing refined computational tractability as well as hardness results. We achieve this by a systematic investigation of various problem‐specific parameters and their influence on the computational complexity. Charting the border between tractability and intractability, we also identify numerous challenges for future research.Subjects / Keywords
approximation algorithms; interdiction problems; length-bounded cuts; NP-hardness; parameterized complexity; special graph classesRelated items
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