Artículo

Lin, M.C.; Soulignac, F.J.; Szwarcfiter, J.L. "Normal Helly circular-arc graphs and its subclasses" (2013) Discrete Applied Mathematics. 161(7-8):1037-1059
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Abstract:

A Helly circular-arc model M=(C,A) is a circle C together with a Helly family A of arcs of C. If no arc is contained in any other, then M is a proper Helly circular-arc model, if every arc has the same length, then M is a unit Helly circular-arc model, and if there are no two arcs covering the circle, then M is a normal Helly circular-arc model. A Helly (resp. proper Helly, unit Helly, normal Helly) circular-arc graph is the intersection graph of the arcs of a Helly (resp. proper Helly, unit Helly, normal Helly) circular-arc model. In this article we study these subclasses of Helly circular-arc graphs. We show natural generalizations of several properties of (proper) interval graphs that hold for some of these Helly circular-arc subclasses. Next, we describe characterizations for the subclasses of Helly circular-arc graphs, including forbidden induced subgraphs characterizations. These characterizations lead to efficient algorithms for recognizing graphs within these classes. Finally, we show how these classes of graphs relate with straight and round digraphs. © 2012 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Normal Helly circular-arc graphs and its subclasses
Autor:Lin, M.C.; Soulignac, F.J.; Szwarcfiter, J.L.
Filiación:CONICET, Instituto de Cálculo, Universidad de Buenos Aires, Buenos Aires, Argentina
CONICET, Departamento de Computación, Universidad de Buenos Aires, Buenos Aires, Argentina
Universidade Federal Do Rio de Janeiro, Instituto de Matemática, NCE and COPPE, Caixa Postal 2324, 20001-970 Rio de Janeiro, RJ, Brazil
Palabras clave:Helly circular-arc graphs; Normal circular-arc graphs; Proper circular-arc graphs; Unit circular-arc graphs; Circular-arc graph; Forbidden induced subgraphs; If there are; Intersection graph; Interval graph; Natural generalization; Proper circular-arc graphs; Unit circular-arc graphs; Algorithms; Characterization; Graph theory; Graphic methods
Año:2013
Volumen:161
Número:7-8
Página de inicio:1037
Página de fin:1059
DOI: http://dx.doi.org/10.1016/j.dam.2012.11.005
Título revista:Discrete Applied Mathematics
Título revista abreviado:Discrete Appl Math
ISSN:0166218X
CODEN:DAMAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v161_n7-8_p1037_Lin

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Citas:

---------- APA ----------
Lin, M.C., Soulignac, F.J. & Szwarcfiter, J.L. (2013) . Normal Helly circular-arc graphs and its subclasses. Discrete Applied Mathematics, 161(7-8), 1037-1059.
http://dx.doi.org/10.1016/j.dam.2012.11.005
---------- CHICAGO ----------
Lin, M.C., Soulignac, F.J., Szwarcfiter, J.L. "Normal Helly circular-arc graphs and its subclasses" . Discrete Applied Mathematics 161, no. 7-8 (2013) : 1037-1059.
http://dx.doi.org/10.1016/j.dam.2012.11.005
---------- MLA ----------
Lin, M.C., Soulignac, F.J., Szwarcfiter, J.L. "Normal Helly circular-arc graphs and its subclasses" . Discrete Applied Mathematics, vol. 161, no. 7-8, 2013, pp. 1037-1059.
http://dx.doi.org/10.1016/j.dam.2012.11.005
---------- VANCOUVER ----------
Lin, M.C., Soulignac, F.J., Szwarcfiter, J.L. Normal Helly circular-arc graphs and its subclasses. Discrete Appl Math. 2013;161(7-8):1037-1059.
http://dx.doi.org/10.1016/j.dam.2012.11.005