新疆大学数学与系统科学学院
纸质出版:2009
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[1]范勤亮.三正则图的列表线性荫度(英文)[J].新疆大学学报(自然科学版),2009,26(03):284-289.
范勤亮. 三正则图的列表线性荫度(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2009, 26(3): 284-289.
图G的线性荫度la(G)为图G的边的最小划分数使得每个划分是一个线性森林.研究了安和吴两人引进的图G的列表线性荫度lla(G)的概念及猜想(?).证明了对任意三正则图G有la(G)=lla(G)=2.
The linear arboricity la(G) of a graph G is the minimum number of linear forests which partition the edges of G.An and Wu introduced the notion of list linear aboricity lla(G) of a graph G and conjectured that‘△(G)/2'≤la(G)=lla(G)≤‘△(G)+1/2' for any graph G.In this paper
we prove that la(G) = lla(G) =2 for any cubic graph G.
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