Eager st-Ordering

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2002
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Algorithms — ESA 2002 / Möhring, Rolf; Raman, Rajeev (ed.). - Berlin, Heidelberg : Springer Berlin Heidelberg, 2002. - (Lecture Notes in Computer Science ; 2461). - pp. 247-256. - ISBN 978-3-540-44180-9
Abstract
Given a biconnected graph G = (V,E) with edge {s, t} gehört E, an st-ordering is an ordering v1, . . . , vn of V such that s = v1, t = vn, and every other vertex has both a higher-numbered and a lower-numbered neighbor. Previous linear-time st-ordering algorithms are based on a preprocessing step in which depth-first search is used to compute lowpoints. The actual ordering is determined only in a second pass over the graph. We present a new, incremental algorithm that does not require lowpoint information and, throughout a single depth-first traversal, maintains an st-ordering of the biconnected component of {s, t} in the traversed subgraph.
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004 Computer Science
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Cite This
ISO 690BRANDES, Ulrik, 2002. Eager st-Ordering. In: MÖHRING, Rolf, ed., Rajeev RAMAN, ed.. Algorithms — ESA 2002. Berlin, Heidelberg:Springer Berlin Heidelberg, pp. 247-256. ISBN 978-3-540-44180-9. Available under: doi: 10.1007/3-540-45749-6_25
BibTex
@inproceedings{Brandes2002-08-29Eager-5862,
  year={2002},
  doi={10.1007/3-540-45749-6_25},
  title={Eager st-Ordering},
  number={2461},
  isbn={978-3-540-44180-9},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  series={Lecture Notes in Computer Science},
  booktitle={Algorithms — ESA 2002},
  pages={247--256},
  editor={Möhring, Rolf and Raman, Rajeev},
  author={Brandes, Ulrik}
}
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