• Corpus ID: 236635217

Assistance and Interdiction Problems on Interval Graphs

@article{Hoang2021AssistanceAI,
  title={Assistance and Interdiction Problems on Interval Graphs},
  author={Hung Phuc Hoang and Stefan Lendl and Lasse Wulf},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.14550}
}
We introduce a novel framework of graph modifications specific to interval graphs. We study interdiction problems with respect to these graph modifications. Given a list of original intervals, each interval has a replacement interval such that either the replacement contains the original, or the original contains the replacement. The interdictor is allowed to replace up to k original intervals with their replacements. Using this framework we also study the contrary of interdiction problems… 

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References

SHOWING 1-10 OF 21 REFERENCES
On Short Paths Interdiction Problems: Total and Node-Wise Limited Interdiction
TLDR
It is shown that the short paths node-wise interdiction problem can be efficiently solved by an extension of Dijkstra’s algorithm and the same inapproximability bounds hold for undirected graphs and/or node elimination.
Minimum d-blockers and d-transversals in graphs
TLDR
This work considers a set V of elements and an optimization problem on V: the search for a maximum (or minimum) cardinality subset of V verifying a given property ℘, and studies d-transversals and d-blockers of stable sets or vertex covers in bipartite and in split graphs.
Minimum vertex blocker clique problem
TLDR
The first exact algorithm for solving VBCP is developed, which solves the proposed formulation by using a row generation approach, and an analytical lower bound on the cardinality of an optimal solution to V BCP is presented.
A more fine‐grained complexity analysis of finding the most vital edges for undirected shortest paths
TLDR
The NP‐hard shortest path most vital edges problem arising in the context of analyzing network robustness is studied by a systematic investigation of various problem‐specific parameters and their influence on the computational complexity.
The most vital nodes with respect to independent set and vertex cover
Modern network interdiction problems and algorithms
TLDR
A network interdiction problem usually involves two players who compete in a min‐max or max‐min game that tries to optimize its objective over the network, for example, as measured by a shortest path, maximum flow, or minimum cost flow.
The Critical Node Detection Problem in networks: A survey
The Node-Deletion Problem for Hereditary Properties is NP-Complete
Tough graphs and hamiltonian circuits
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3
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