I. Hartman, Berge's conjecture on directed path partitions???a survey, Discrete Mathematics, vol.306, issue.19-20, pp.2498-2514, 2006.
DOI : 10.1016/j.disc.2005.12.039

R. P. Dilworth, A decomposition theorem for partially ordered sets, Ann. of Math, issue.2, pp.51-161, 1950.
DOI : 10.2307/1969503

E. Escamilla, A. Nicolae, P. Salerno, S. Shahriari, and J. Tirrell, On nested chain decompositions of normalized matching posets of rank 3, Order, pp.28-357, 2011.

C. Greene, Some partitions associated with a partially ordered set, Journal of Combinatorial Theory, Series A, vol.20, issue.1, pp.69-79, 1976.
DOI : 10.1016/0097-3165(76)90078-9

C. Greene and D. J. Kleitman, The structure of sperner k-families, Journal of Combinatorial Theory, Series A, vol.20, issue.1, pp.41-68, 1976.
DOI : 10.1016/0097-3165(76)90077-7

C. Greene and D. J. Kleitman, Proof techniques in the theory of finite sets, Studies in combinatorics, pp.22-79, 1978.

J. R. Griggs, Sufficient Conditions for a Symmetric Chain Order, SIAM Journal on Applied Mathematics, vol.32, issue.4, pp.807-809, 1977.
DOI : 10.1137/0132068

J. R. Griggs, Symmetric Chain Orders, Sperner Theorems, and Loop Matchings, 1977.

J. R. Griggs, On chains and Sperner k-families in ranked posets, Journal of Combinatorial Theory, Series A, vol.28, issue.2, pp.156-168, 1980.
DOI : 10.1016/0097-3165(80)90082-5

J. R. Griggs, Matchings, cutsets, and chain partitions in graded posets, Discrete Mathematics, vol.144, issue.1-3, pp.33-46, 1995.
DOI : 10.1016/0012-365X(94)00284-P
URL : http://doi.org/10.1016/0012-365x(94)00284-p

Q. Liu and D. B. West, Duality for semiantichains and unichain coverings in products of special posets, Order, pp.25-359, 2008.

M. Saks, A short proof of the existence of k-saturated partitions of partially ordered sets, Advances in Mathematics, vol.33, issue.3, pp.207-211, 1979.
DOI : 10.1016/0001-8708(79)90010-0

C. A. Tovey and D. B. West, Semiantichains and unichain coverings in direct products of partial orders, SIAM J. Algebraic Discrete Methods, vol.2, pp.295-305, 1981.

C. A. Tovey and D. B. West, Networks and chain coverings in partial orders and their products, Order, vol.2, issue.1, pp.49-60, 1985.
DOI : 10.1007/BF00337923

L. E. Trotter, J. , and D. B. West, Two easy duality theorems for product partial orders, Discrete Applied Mathematics, vol.16, issue.3, pp.283-286, 1987.
DOI : 10.1016/0166-218X(87)90065-5
URL : http://doi.org/10.1016/0166-218x(87)90065-5

X. G. Viennot, Chain and antichain families, grids and Young tableaux, in Orders: description and roles (L'Arbresle, pp.409-463, 1982.
DOI : 10.1016/s0304-0208(08)73835-0

Y. Wang, Nested chain partitions of LYM posets, Discrete Applied Mathematics, vol.145, issue.3, pp.493-497, 2005.
DOI : 10.1016/j.dam.2004.07.002

D. B. West, Parameters of Partial Orders and Graphs: Packing, Covering, and Representation, pp.267-350, 1985.
DOI : 10.1007/978-94-009-5315-4_8

D. B. West, ???Poly-unsaturated??? posets: The Greene-Kleitman theorem is best possible, Journal of Combinatorial Theory, Series A, vol.41, issue.1, pp.105-116, 1986.
DOI : 10.1016/0097-3165(86)90118-4

D. B. West, Unichain coverings in partial orders with the nested saturation property, Discrete Mathematics, vol.63, issue.2-3, pp.297-303, 1987.
DOI : 10.1016/0012-365X(87)90018-5

D. B. West and D. J. Kleitman, Skew chain orders and sets of rectangles, Discrete Mathematics, vol.27, issue.1, pp.99-102, 1979.
DOI : 10.1016/0012-365X(79)90073-6

C. Wu, On relationships between semi-antichains and unichain coverings in discrete mathematics , Chinese Quart, J. Math, vol.13, pp.44-48, 1998.