| 杨利民,姚红.正则m叉树T的S(n)={Ki:1≤i≤n}-因子数的递归公式[J].数学研究及应用,2003,23(2):362~366 |
| 正则m叉树T的S(n)={Ki:1≤i≤n}-因子数的递归公式 |
| A Recurrence Formula for the S(n)-Factoring Number of a Regular m -furcating tree |
| 投稿时间：2000-01-12 |
| DOI：10.3770/j.issn:1000-341X.2003.02.031 |
| 中文关键词: 正则m叉树 分支 因子 完全图 分枝点 叶数 |
| 英文关键词:regular m-furcating tree component factor complete graph brach's vertice the number of leaves |
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| 中文摘要: |
| 在正则m叉树T中,删除K2及端点关联边,通过所得子正则m叉树中分枝点、叶数和m之间内在联系,本文导出正则m叉树T的S(n)={Ki:1≤i≤n}-因子数递归公式.特别当m=2时,正则2叉树递归公式为:At=At/22+2At/42 At/2,t为正则2叉树T的叶数. |
| 英文摘要: |
| For a regular m-furcating tree, the authors derive a recurrence formula of the number of its S(n)={Ki:1≤i≤n}-factor through analysing the relation among i,t and m of sub-furcating trees. Specially, m=2, the recurrence formula of a regular binary tree is as follows: At=At/22+2At/42 At/2, with initial conditions: A2=3, A4=15. |
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