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Abstract:

In this paper we present a polynomial time algorithm that determines if an input graph containing no induced seven-vertex path is 3-colorable. This affirmatively answers a question posed by Randerath, Schiermeyer and Tewes in 2002. Our algorithm also solves the list-coloring version of the 3-coloring problem, where every vertex is assigned a list of colors that is a subset of {1,2,3}, and gives an explicit coloring if one exists. © 2018, János Bolyai Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature.

Registro:

Documento: Artículo
Título:Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices
Autor:Bonomo, F.; Chudnovsky, M.; Maceli, P.; Schaudt, O.; Stein, M.; Zhong, M.
Filiación:CONICET and Departamento de Computación, FCEN, Universidad de Buenos Aires, Aires, Argentina
Princeton University, Princeton, NJ 08544, United States
Department of Mathematics and Statistics, Canisius College, Buffalo, NY 14208, United States
Institut für Informatik, Universität zu Käln, Käln, Germany
Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile
Columbia University, New York, NY 10027, United States
Año:2018
Volumen:38
Número:4
Página de inicio:779
Página de fin:801
DOI: http://dx.doi.org/10.1007/s00493-017-3553-8
Título revista:Combinatorica
Título revista abreviado:Combinatorica
ISSN:02099683
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02099683_v38_n4_p779_Bonomo

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Citas:

---------- APA ----------
Bonomo, F., Chudnovsky, M., Maceli, P., Schaudt, O., Stein, M. & Zhong, M. (2018) . Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices. Combinatorica, 38(4), 779-801.
http://dx.doi.org/10.1007/s00493-017-3553-8
---------- CHICAGO ----------
Bonomo, F., Chudnovsky, M., Maceli, P., Schaudt, O., Stein, M., Zhong, M. "Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices" . Combinatorica 38, no. 4 (2018) : 779-801.
http://dx.doi.org/10.1007/s00493-017-3553-8
---------- MLA ----------
Bonomo, F., Chudnovsky, M., Maceli, P., Schaudt, O., Stein, M., Zhong, M. "Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices" . Combinatorica, vol. 38, no. 4, 2018, pp. 779-801.
http://dx.doi.org/10.1007/s00493-017-3553-8
---------- VANCOUVER ----------
Bonomo, F., Chudnovsky, M., Maceli, P., Schaudt, O., Stein, M., Zhong, M. Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices. Combinatorica. 2018;38(4):779-801.
http://dx.doi.org/10.1007/s00493-017-3553-8