Abstract:
A c-edge-colored multigraph has each edge colored with one of the c available colors and no two parallel edges have the same color. A proper hamiltonian path is a path containing all the vertices of the multigraph such that no two adjacent edges have the same color. In this work we establish sufficient conditions for a multigraph to have a proper hamiltonian path, depending on several parameters such as the number of edges, the rainbow degree, etc. © 2011 Elsevier B.V.
Registro:
Documento: |
Artículo
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Título: | Proper Hamiltonian Paths in Edge-Colored Multigraphs |
Autor: | Águeda, R.; Borozan, V.; Groshaus, M.; Manoussakis, Y.; Mendy, G.; Montero, L. |
Filiación: | Universidad de Castilla, La Mancha, 45071 Toledo, Spain L.R.I., University Paris 11 Sud, Bât. 490, 91405 Orsay Cedex, France Departamento de Computación, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
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Palabras clave: | Edge-Coloring; Multigraph; Proper Hamiltonian Path |
Año: | 2011
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Volumen: | 38
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Página de inicio: | 5
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Página de fin: | 10
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DOI: |
http://dx.doi.org/10.1016/j.endm.2011.09.002 |
Título revista: | Electronic Notes in Discrete Mathematics
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Título revista abreviado: | Electron. Notes Discrete Math.
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ISSN: | 15710653
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v38_n_p5_Agueda |
Referencias:
- Abouelaoualim, A., Das, K.C., de la Vega, W.F., Karpinski, M., Manoussakis, Y., Martinhon, C.A., Saad, R., Cycles and paths in edge-colored graphs with given degrees (2010) J. Graph Theory, 64, pp. 63-86
- Bang-Jensen, J., Gutin, G., Alternating cycles and paths in edge-coloured multigraphs: A survey (1997) Discrete Math., pp. 39-60
- Bang-Jensen, J., Gutin, G., (2001) Digraphs, , Springer-Verlag, London Ltd
- Benkouar, A., Manoussakis, Y., Paschos, V.T., Saad, R., Hamiltonian problems in edge-colored complete graphs and Eulerian cycles in edge-colored graphs: Some complexity results (1996) RAIRO Rech. Opér., 30, pp. 417-438
- Feng, J., Giesen, H.-E., Guo, Y., Gutin, G., Jensen, T., Rafiey, A., Characterization of edge-colored complete graphs with properly colored Hamilton paths (2006) J. Graph Theory, 53, pp. 333-346
- Gutin, G., Kim, E., Properly coloured cycles and paths: Results and open problems (2009) Graph theory, computational intelligence and thought, , Springer
- Hu, T.C., Kuo, Y.S., Graph folding and programmable logic array (1987) Networks, 17, pp. 19-37
- Pevzner, P.A., (2000) Computational molecular biology, , MIT Press
Citas:
---------- APA ----------
Águeda, R., Borozan, V., Groshaus, M., Manoussakis, Y., Mendy, G. & Montero, L.
(2011)
. Proper Hamiltonian Paths in Edge-Colored Multigraphs. Electronic Notes in Discrete Mathematics, 38, 5-10.
http://dx.doi.org/10.1016/j.endm.2011.09.002---------- CHICAGO ----------
Águeda, R., Borozan, V., Groshaus, M., Manoussakis, Y., Mendy, G., Montero, L.
"Proper Hamiltonian Paths in Edge-Colored Multigraphs"
. Electronic Notes in Discrete Mathematics 38
(2011) : 5-10.
http://dx.doi.org/10.1016/j.endm.2011.09.002---------- MLA ----------
Águeda, R., Borozan, V., Groshaus, M., Manoussakis, Y., Mendy, G., Montero, L.
"Proper Hamiltonian Paths in Edge-Colored Multigraphs"
. Electronic Notes in Discrete Mathematics, vol. 38, 2011, pp. 5-10.
http://dx.doi.org/10.1016/j.endm.2011.09.002---------- VANCOUVER ----------
Águeda, R., Borozan, V., Groshaus, M., Manoussakis, Y., Mendy, G., Montero, L. Proper Hamiltonian Paths in Edge-Colored Multigraphs. Electron. Notes Discrete Math. 2011;38:5-10.
http://dx.doi.org/10.1016/j.endm.2011.09.002