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路图与圈图的积图的临界群
  • 期刊名称：湖南工业大学学报
  • 时间：0
  • 页码：21-24
  • 语言：中文
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南师范大学数学系,湖南长沙410081
  • 相关基金：国家自然科学基金资助项目（10471037）,湖南省教育厅科研基金资助项目（06A037）
  • 相关项目：图的临界群、图谱和化学图论
作者： 陈平鸽|侯耀平|
关键词： 图的Laplacian矩阵, 临界群, 群的Smith标准形, 路, 圈, graph Laplacian matrix , critical group , the Smith normal form , path , cycle
中文摘要：

图的临界群是图生成树数目的一个加细。确定了积图Pm·Cn（m≤4）的临界群的结构，证明了P3·Cn的临界群恰好为n＋1个偶数阶循环群的直和，而P4·Cn的临界群恰好为3个偶数阶循环群的直和。

英文摘要：

We study the structure of the critical group on the graph Pm· Cn （ m≤4 ）, An explicit expression of the Smith normal form of critical group on the graph P3·Cn and P4· Cn can be decided, which are always the direct product of n＋1 cyclic groups with even order and the direct product of three cyclic groups with even order respectively.

同期刊论文项目
组合矩阵论与化学图论
期刊论文 55 会议论文 1
图的临界群、图谱和化学图论
期刊论文 32
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