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The Cartographer
Imbalance Parameterized by Twin Cover Revisited
May 07, 2020 Β· Declared Dead Β· π International Computing and Combinatorics Conference
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Authors
Neeldhara Misra, Harshil Mittal
arXiv ID
2005.03800
Category
cs.DS: Data Structures & Algorithms
Citations
4
Venue
International Computing and Combinatorics Conference
Last Checked
4 months ago
Abstract
We study the problem of Imbalance parameterized by the twin cover of a graph. We show that Imbalance is XP parameterized by twin cover, and FPT when parameterized by the twin cover and the size of the largest clique outside the twin cover. In contrast, we introduce a notion of succinct representations of graphs in terms of their twin cover and demonstrate that Imbalance is NP-hard in the setting of succinct representations, even for graphs that have a twin cover of size one.
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