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linear forests
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  线性林
     In 1985, S.Ruiz [3] generalized Kirkman's theorem to linear forests (graph each component of which is a path).
     1985年S. Ruiz把Kirkman定理推广到线性林.
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  相似匹配句对
     Linear programming
     线性规划
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     Erosion and Forests
     侵蚀和森林
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     The Disappearing Forests
     正在消失的森林
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     Linear Prediction
     线性预测
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     In 1985, S.Ruiz [3] generalized Kirkman's theorem to linear forests (graph each component of which is a path).
     1985年S. Ruiz把Kirkman定理推广到线性林.
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  linear forests
Maximum Induced Linear Forests in Outerplanar Graphs
      
The linear arboricity la(G) of a graph G is the minimum number of linear forests which partition the edges of G.
      
Thelinear arboricity la(G) of a graphG is the minimum number of linear forests whose union is the set of all edges ofG.
      
In this paper, we prove that if the number of edges of ak-regular circulant is divisible by [(k+1)/2], then its edge set can be partitioned into [(k+1)/2] isomorphic linear forests, fork=3,4.
      
Partitioning circulant graphs into isomorphic linear forests
      


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.

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.

It is a well known fact that the linear arboricity of a k-regular graph is [(k+1)/2] fork=3,4. In this paper, we prove that if the number Of edges of a k-regular circulant is divisibleby [(k+1)/2], then its edge set can be partitioned into [(k+1)/2] isomorphic linear forests, fork=3,4.

1.IntroductionAlinearforestisaforestwhosecomponentsarepaths.Akiyama,E-coo,andHararyprovedthefollowingTheoremAll]andTheoremBIZ].TheoremA.Every3-regUlargraphGhasapartition(FI,F2)ofE(G)suchthatboth(V(G),FI)and(V(G),F2)arelinearforests.TheoremB.Every4reg...

 
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