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两个完全图的乘积的树宽
引用本文:原晋江,罗来兴.两个完全图的乘积的树宽[J].运筹学学报,2004,8(1):62-68.
作者姓名:原晋江  罗来兴
作者单位:郑州大学数学系,郑州,450052
基金项目:Research supported by the Natural Science Foundation of Henan Province,the Huo Ying Dong Education Foundation of China.
摘    要:本文确定了乘积图Km×Kn的树宽.我们的结果是若m和n都是偶数,且m≥n,或m是奇数而n是偶数,或m和n都是奇数且n≥m,则Km×Kn的树宽是TW(Km×Kn)=n(m+1)/2-1.这恰好是图Km×Kn的带宽.

关 键 词:完全图  树宽  乘积图  带宽

Treewidth of the Product of Two Complete Graphs
Abstract.Treewidth of the Product of Two Complete Graphs[J].OR Transactions,2004,8(1):62-68.
Authors:Abstract
Abstract:We determine in this paper the treewidth of Km × Kn. Our result is that: If both m and n are even and m > n, or m is odd and n is even, or both m and n are odd and n > m, then the treewidth of Km × Kn isTW(Km × Kn) = n(m + 1/2)-1.This is exactly the bandwidth of Km × Kn.
Keywords:OR  treewidth  bandwidth  product graph
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