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Abstract:

Graphs with bounded thinness were defined in 2007 as a generalization of interval graphs. In this paper we introduce the concept of proper thinness, such that graphs with bounded proper thinness generalize proper interval graphs. We study the complexity of problems related to the computation of these parameters, describe the behavior of the thinness and proper thinness under three graph operations, and relate thinness and proper thinness to other graph invariants in the literature. Finally, we describe a wide family of problems that can be solved in polynomial time for graphs with bounded thinness, generalizing for example list matrix partition problems with bounded size matrix, and enlarge this family of problems for graphs with bounded proper thinness, including domination problems. © 2018 Elsevier B.V.

Registro:

Documento: Artículo
Título:On the thinness and proper thinness of a graph
Autor:Bonomo, F.; de Estrada, D.
Filiación:Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Computación, Buenos Aires, Argentina
CONICET-Universidad de Buenos Aires, Instituto de Investigación en Ciencias de la Computación (ICC), Buenos Aires, Argentina
Palabras clave:Interval graphs; Proper interval graphs; Proper thinness; Thinness
Año:2018
DOI: http://dx.doi.org/10.1016/j.dam.2018.03.072
Título revista:Discrete Applied Mathematics
Título revista abreviado:Discrete Appl Math
ISSN:0166218X
CODEN:DAMAD
Registro:http://digital.bl.fcen.uba.ar/collection/paper/document/paper_0166218X_v_n_p_Bonomo

Citas:

---------- APA ----------
Bonomo, F. & de Estrada, D. (2018) . On the thinness and proper thinness of a graph. Discrete Applied Mathematics.
http://dx.doi.org/10.1016/j.dam.2018.03.072
---------- CHICAGO ----------
Bonomo, F., de Estrada, D. "On the thinness and proper thinness of a graph" . Discrete Applied Mathematics (2018).
http://dx.doi.org/10.1016/j.dam.2018.03.072
---------- MLA ----------
Bonomo, F., de Estrada, D. "On the thinness and proper thinness of a graph" . Discrete Applied Mathematics, 2018.
http://dx.doi.org/10.1016/j.dam.2018.03.072
---------- VANCOUVER ----------
Bonomo, F., de Estrada, D. On the thinness and proper thinness of a graph. Discrete Appl Math. 2018.
http://dx.doi.org/10.1016/j.dam.2018.03.072