Proper Hamiltonian Paths in Edge-Colored Multigraphs

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 suffici...

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Autor principal: Águeda, R.
Otros Autores: Borozan, V., Groshaus, M., Manoussakis, Y., Mendy, G., Montero, L.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2011
Acceso en línea:Registro en Scopus
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100 1 |a Águeda, R. 
245 1 0 |a Proper Hamiltonian Paths in Edge-Colored Multigraphs 
260 |c 2011 
270 1 0 |m Águeda, R.; Universidad de Castilla, La Mancha, 45071 Toledo, Spain; email: raquel.agueda@uclm.es 
506 |2 openaire  |e Política editorial 
504 |a 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 
504 |a Bang-Jensen, J., Gutin, G., Alternating cycles and paths in edge-coloured multigraphs: A survey (1997) Discrete Math., pp. 39-60 
504 |a Bang-Jensen, J., Gutin, G., (2001) Digraphs, , Springer-Verlag, London Ltd 
504 |a 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 
504 |a 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 
504 |a Gutin, G., Kim, E., Properly coloured cycles and paths: Results and open problems (2009) Graph theory, computational intelligence and thought, , Springer 
504 |a Hu, T.C., Kuo, Y.S., Graph folding and programmable logic array (1987) Networks, 17, pp. 19-37 
504 |a Pevzner, P.A., (2000) Computational molecular biology, , MIT Press 
520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: PICT 1562 
536 |a Detalles de la financiación: Secretaría de Ciencia y Técnica, Universidad de Buenos Aires, X456, X143 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: Partially supported by UBACyT X456, X143 and ANPCyT PICT 1562 Grants and by CONICET, Argentina. 
593 |a Universidad de Castilla, La Mancha, 45071 Toledo, Spain 
593 |a L.R.I., University Paris 11 Sud, Bât. 490, 91405 Orsay Cedex, France 
593 |a Departamento de Computación, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina 
690 1 0 |a EDGE-COLORING 
690 1 0 |a MULTIGRAPH 
690 1 0 |a PROPER HAMILTONIAN PATH 
700 1 |a Borozan, V. 
700 1 |a Groshaus, M. 
700 1 |a Manoussakis, Y. 
700 1 |a Mendy, G. 
700 1 |a Montero, L. 
773 0 |d 2011  |g v. 38  |h pp. 5-10  |p Electron. Notes Discrete Math.  |x 15710653  |t Electronic Notes in Discrete Mathematics 
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