Upper bounds on linear vertex-arboricity of complementary graphs

被引:0
|
作者
Alavi, Y
Erdos, P
Lam, PCB
Lick, D
Liu, JQ
Wang, JF
机构
[1] Western Michigan Univ, Kalamazoo, MI 49008 USA
[2] Eastern Michigan Univ, Ypsilanti, MI 48197 USA
[3] Chinese Acad Sci, Inst Appl Math, Beijing 100864, Peoples R China
[4] Hungarian Acad Sci, H-1051 Budapest, Hungary
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The linear vertex-arboricity rho(G) of a gragh G is defined to be the minimum number of subsets into which the vertex set of G can be partitioned such that each subset induces a linear forest. Alavi et.al. [1] gave sharp upper and lower bounds for the sum and product of linear vertex-arboricity of a graph and its complement. In this paper we give an improved upper bound for that sum.
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页码:43 / 48
页数:6
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