Asteroidal Quadruples in non Rooted Path Graphs

• Autorzy: Marisa Gutierrez , Benjamin Lévêque , Silvia B. Tondato
• Języki publikacji: EN

Abstrakty

EN

A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple.

Słowa kluczowe

EN

clique trees; rooted path graphs; asteroidal quadruples

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2015
• Tom: 35
• Numer: 4
• Strony: 603-614

Daty

wydano

2015-11-01

otrzymano

2014-05-15

poprawiono

2014-12-16

zaakceptowano

2014-12-16

online

2015-11-10

Twórcy

autor

Marisa Gutierrez

• Conicet Dto. de Matemática Facultad de Ciencias Exactas Universidad Nacional de La Plata Argentina

autor

Benjamin Lévêque

• CNRS, LIRMM, Montpellier, France

autor

Silvia B. Tondato

• Dto. de Matemática Facultad de Ciencias Exactas Universidad Nacional de La Plata Argentina

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1821