On transitive orientations of G-ê

• Autorzy: Michael Andresen
• Języki publikacji: EN

Abstrakty

EN

A comparability graph is a graph whose edges can be oriented transitively. Given a comparability graph G = (V,E) and an arbitrary edge ê∈ E we explore the question whether the graph G-ê, obtained by removing the undirected edge ê, is a comparability graph as well. We define a new substructure of implication classes and present a complete mathematical characterization of all those edges.

Słowa kluczowe

EN

comparability graph; edge deletion; transitive orientation; Triangle Lemma; Γ-components; open shop scheduling; irreducibility

Kategorie tematyczne

• 68R10: Graph theory (including graph drawing)
• 05C20: Directed graphs (digraphs), tournaments
• 05C75: Structural characterization of families of graphs
• 90B35: Scheduling theory, deterministic

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2009
• Tom: 29
• Numer: 3
• Strony: 423-467

Daty

wydano

2009

otrzymano

2007-02-28

poprawiono

2009-02-18

zaakceptowano

2009-02-18

Twórcy

autor

Michael Andresen

• Otto-von-Guericke-Universität, Fakultät für Mathematik, PSF 4120, 39016 Magdeburg, Germany

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1457