Structural results on circular-arc graphs and circle graphs: A survey and the main open problems
Author
dc.contributor.author
Durán Maggiolo, Guillermo
Author
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Grippo, Luciano N.
es_CL
Author
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Safe, Martín D.
es_CL
Admission date
dc.date.accessioned
2015-01-01T22:39:26Z
Available date
dc.date.available
2015-01-01T22:39:26Z
Publication date
dc.date.issued
2014
Cita de ítem
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Discrete Applied Mathematics 164 (2014) 427–443
en_US
Identifier
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doi:10.1016/j.dam.2012.12.021
Identifier
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https://repositorio.uchile.cl/handle/2250/126888
General note
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Artículo de publicación ISI
en_US
Abstract
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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.
en_US
Patrocinador
dc.description.sponsorship
The first author was partially supported by FONDECyT Grant 1110797 and Millennium Science Institute ‘‘Complex
Engineering Systems’’ (Chile). All the authors were partially supported by ANPCyT PICT-2007-00518, UBACyT Grant
20020090300094 and CONICET PIP 112-200901-00160 (Argentina).