摘要
组合论中著名的Kirkman定理用图论的语言可叙述为:完全图K_2n是可nK_2分解的.1985年S.Ruiz把Kirkman定理推广到线性林.我们进一步把Kirkman定理推广到一类优美林.
In 1985, S.Ruiz [3] generalized Kirkman's theorem to linear forests (graph each component of which is a path). It is the object of the paper to generalize Kirkman's Theorem to a class of graceful forests.