Voir la notice de l'article provenant de la source Library of Science
@article{DMGT_2008_28_1_a6, author = {Matsubara, Ryota and Matsumura, Hajime}, title = {Partitions of a graph into cycles containing a specified linear forest}, journal = {Discussiones Mathematicae. Graph Theory}, pages = {97--107}, publisher = {mathdoc}, volume = {28}, number = {1}, year = {2008}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a6/} }
TY - JOUR AU - Matsubara, Ryota AU - Matsumura, Hajime TI - Partitions of a graph into cycles containing a specified linear forest JO - Discussiones Mathematicae. Graph Theory PY - 2008 SP - 97 EP - 107 VL - 28 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a6/ LA - en ID - DMGT_2008_28_1_a6 ER -
Matsubara, Ryota; Matsumura, Hajime. Partitions of a graph into cycles containing a specified linear forest. Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 1, pp. 97-107. http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a6/
[1] S. Brandt, G. Chen, R.J. Faudree, R.J. Gould and L. Lesniak, Degree conditions for 2-factors, J. Graph Theory 24 (1997) 165-173, doi: 10.1002/(SICI)1097-0118(199702)24:2165::AID-JGT4>3.0.CO;2-O
[2] G. Chartrand and L. Lesniak, Graphs Digraphs, 4th edition (Chapman Hall, London, 2004).
[3] Y. Egawa, H. Enomoto, R.J. Faudree, H. Li and I. Schiermeyer, Two factors each component of which contains a specified vertex, J. Graph Theory 43 (2003) 188-198, doi: 10.1002/jgt.10113.
[4] Y. Egawa, R.J. Faudree, E. Györi, Y. Ishigami, R.H. Schelp and H. Wang, Vertex-disjoint cycles containing specified edges, Graphs Combin. 16 (2000) 81-92, doi: 10.1007/s003730050005.
[5] Y. Egawa and R. Matsubara, Vertex-disjoint cycles containing specified vertices in a graph, AKCE Int. J. Graphs Comb. 3 (1) (2006) 65-92.
[6] H. Enomoto, Graph partition problems into cycles and paths, Discrete Math. 233 (2001) 93-101, doi: 10.1016/S0012-365X(00)00229-6.
[7] H. Enomoto and H. Matsumura, Cycle-partition of a graph with specified vertices and edges, to appear in Ars Combinatoria.
[8] Y. Ishigami and H. Wang, An extension of a theorem on cycles containing specified independent edges, Discrete Math. 245 (2002) 127-137, doi: 10.1016/S0012-365X(01)00137-6.
[9] A. Kaneko and K. Yoshimoto, On a 2-factor with a specified edge in a graph satisfying the Ore condition, Discrete Math. 257 (2002) 445-461, doi: 10.1016/S0012-365X(02)00506-X.
[10] R. Matsubara and T. Sakai, Cycles and degenerate cycles through specified vertices, Far East J. Appl. Math. 20 (2005) 201-208.
[11] T. Sakai, Degree-sum conditions for graphs to have 2-factors with cycles through specified vertices, SUT J. Math. 38 (2002) 211-222.