Geodesic
Balanced path decomposition of $\lambda K_{n,n}$ and $\lambda K^*_{n,n}$
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 989-997.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $P_k$ denote a path with $k$ edges and $łK_{n,n}$ denote the $ł$-fold complete bipartite graph with both parts of size $n$. In this paper, we obtain the necessary and sufficient conditions for $łK_{n,n}$ to have a balanced $P_k$-decomposition. We also obtain the directed version of this result.
Classification : 05C38, 05C70
Keywords: path decomposition; balanced decomposition; complete bipartite graph 
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     author = {Lee, Hung-Chih and Lin, Chiang},
     title = {Balanced path decomposition of $\lambda K_{n,n}$ and $\lambda K^*_{n,n}$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {989--997},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {2009},
     mrnumber = {2563571},
     zbl = {1224.05261},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a8/}
}
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Lee, Hung-Chih; Lin, Chiang. Balanced path decomposition of $\lambda K_{n,n}$ and $\lambda K^*_{n,n}$. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 989-997. http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a8/