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| HAL : hal-00005622, version 1 |
| DOI : 10.1016/0166-218X(94)00085-R |
| Fiche détaillée |  Récupérer au format |
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| Discrete Applied Mathematics 56 (2-3) (1995) 157-179 |
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| Bipolar orientations revisited. |
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| Hubert De Fraysseix 1Patrice Ossona De Mendez 1 |
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| (1995) |
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| Acyclic orientations with exactly one source and one sink - the so-called bipolar orientations - arise in many graph algorithms and specially in graph drawing. The fundamental properties of these orientations are explored in terms of circuits, cocircuits and also in terms of ``angles'' in the planar case. Classical results get here new simple proofs; new results concern the extension of partial orientations, exhaustive enumerations, the existence of deletable and contractable edges, and continuous transitions between bipolar orientations. |
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| 1 : | Centre d'analyse et de mathématique sociale (CAMS) |
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CNRS : UMR8557 – École des Hautes Études en Sciences Sociales [EHESS] |
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| Domaine | : | Mathématiques/Combinatoire |
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| graph theory – bipolar orientation |
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| hal-00005622, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00005622 | |
| oai:hal.archives-ouvertes.fr:hal-00005622 | |
| Contributeur : Patrice Ossona De Mendez | |
| Soumis le : Dimanche 26 Juin 2005, 19:11:34 | |
| Dernière modification le : Dimanche 26 Juin 2005, 19:11:34 | |
