Publikation: Path-based supports for hypergraphs
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2012
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Journal of Discrete Algorithms. 2012, 14, pp. 248-261. ISSN 1570-8667. eISSN 1570-8667. Available under: doi: 10.1016/j.jda.2011.12.009
Zusammenfassung
A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-hard to decide whether a path-based support has a monotone drawing, to determine a path-based support with the minimum number of edges, or to decide whether there is a planar path-based support, we show that a path-based tree support can be computed in polynomial time if it exists.
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BRANDES, Ulrik, Sabine CORNELSEN, Barbara PAMPEL, Arnaud SALLABERRY, 2012. Path-based supports for hypergraphs. In: Journal of Discrete Algorithms. 2012, 14, pp. 248-261. ISSN 1570-8667. eISSN 1570-8667. Available under: doi: 10.1016/j.jda.2011.12.009BibTex
@article{Brandes2012Pathb-20925,
year={2012},
doi={10.1016/j.jda.2011.12.009},
title={Path-based supports for hypergraphs},
volume={14},
issn={1570-8667},
journal={Journal of Discrete Algorithms},
pages={248--261},
author={Brandes, Ulrik and Cornelsen, Sabine and Pampel, Barbara and Sallaberry, Arnaud}
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<dcterms:abstract>A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-hard to decide whether a path-based support has a monotone drawing, to determine a path-based support with the minimum number of edges, or to decide whether there is a planar path-based support, we show that a path-based tree support can be computed in polynomial time if it exists.</dcterms:abstract>
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