Recognizing clique graphs of directed edge path graphs

Directed edge path graphs are the intersection graphs of directed paths in a directed tree, viewed as sets of edges. They were studied by Monma and Wei (J. Comb. Theory B 41 (1986) 141-181) who also gave a polynomial time recognition algorithm. In this work, we show that the clique graphs of these g...

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Detalles Bibliográficos
Autores principales: Gutiérrez, Marisa, Meidanis, João
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83487
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Sumario:Directed edge path graphs are the intersection graphs of directed paths in a directed tree, viewed as sets of edges. They were studied by Monma and Wei (J. Comb. Theory B 41 (1986) 141-181) who also gave a polynomial time recognition algorithm. In this work, we show that the clique graphs of these graphs are exactly the two sections of the same kind of path families, and give a polynomial time recognition algorithm for them.