Structural results on circular-arc graphs and circle graphs: A survey and the main open problems

Circular-arc graphs are the intersection graphs of open arcs on a circle. Circle graphs are the intersection graphs of chords on a circle. These graph classes have been the subject of much study for many years and numerous interesting results have been reported. Many subclasses of both circular-arc...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Durán, G., Grippo, L.N., Safe, M.D.
Formato: INPR
Lenguaje:English
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0166218X_v_n_p_Duran
Aporte de:
Descripción
Sumario:Circular-arc graphs are the intersection graphs of open arcs on a circle. Circle graphs are the intersection graphs of chords on a circle. These graph classes have been the subject of much study for many years and numerous interesting results have been reported. Many subclasses of both circular-arc graphs and circle graphs have been defined and different characterizations formulated. In this survey, we summarize the most important structural results related to circular-arc graphs and circle graphs and present the main open problems. © 2013.