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Abstract:

Circular graphs are intersection graphs of arcs on a circle. These graphs are reported to have been studied since 1964, and they have been receiving considerable attention since a series of papers by Tucker in the 1970s. Various subclasses of circular-arc graphs have also been studied. Among these are the proper circular-arc graphs, unit circular-arc graphs, Helly circular-arc graphs and co-bipartite circular-arc graphs. Several characterizations and recognition algorithms have been formulated for circular-arc graphs and its subclasses. In particular, it should be mentioned that linear time algorithms are known for all these classes of graphs. In the present paper, we survey these characterizations and recognition algorithms, with emphasis on the linear time algorithms. © 2008 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Characterizations and recognition of circular-arc graphs and subclasses: A survey
Autor:Lin, M.C.; Szwarcfiter, J.L.
Filiación:Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Instituto de Matemática, NCE, COPPE, Rio de Janeiro, Brazil
Palabras clave:Algorithms; Circular-arc graphs; Co-bipartite circular-arc graphs; Helly circular-arc graphs; Proper circular-arc graphs; Unit circular-arc graphs; Circular-arc graphs; Co-bipartite circular-arc graphs; Helly circular-arc graphs; Proper circular-arc graphs; Unit circular-arc graphs; Algorithms; Surveys; Cavity resonators
Año:2009
Volumen:309
Número:18
Página de inicio:5618
Página de fin:5635
DOI: http://dx.doi.org/10.1016/j.disc.2008.04.003
Título revista:Discrete Mathematics
Título revista abreviado:Discrete Math
ISSN:0012365X
CODEN:DSMHA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0012365X_v309_n18_p5618_Lin.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v309_n18_p5618_Lin

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Citas:

---------- APA ----------
Lin, M.C. & Szwarcfiter, J.L. (2009) . Characterizations and recognition of circular-arc graphs and subclasses: A survey. Discrete Mathematics, 309(18), 5618-5635.
http://dx.doi.org/10.1016/j.disc.2008.04.003
---------- CHICAGO ----------
Lin, M.C., Szwarcfiter, J.L. "Characterizations and recognition of circular-arc graphs and subclasses: A survey" . Discrete Mathematics 309, no. 18 (2009) : 5618-5635.
http://dx.doi.org/10.1016/j.disc.2008.04.003
---------- MLA ----------
Lin, M.C., Szwarcfiter, J.L. "Characterizations and recognition of circular-arc graphs and subclasses: A survey" . Discrete Mathematics, vol. 309, no. 18, 2009, pp. 5618-5635.
http://dx.doi.org/10.1016/j.disc.2008.04.003
---------- VANCOUVER ----------
Lin, M.C., Szwarcfiter, J.L. Characterizations and recognition of circular-arc graphs and subclasses: A survey. Discrete Math. 2009;309(18):5618-5635.
http://dx.doi.org/10.1016/j.disc.2008.04.003