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若干图类的常返构型
  • ISSN号：0438-0479
  • 期刊名称：厦门大学学报(自然科学版)
  • 时间：2012
  • 页码：297-301
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]漳州师范学院数学与信息科学系,福建漳州363000, [2]厦门大学数学科学学院,福建厦门361005
  • 相关基金：国家自然科学基金项目（11171279,11101358）; 福建省自然科学基金项目（2011J01026）; 漳州师范学院博士科研启动基金项目（201008）
  • 相关项目：Pfaffian图的结构性质及相关问题研究
作者： 吴晓霞|张莲珠|
关键词： 图, 常返构型, Abelian沙堆模型, graph, recurrent configuration, Abelian sandpile model
中文摘要：

研究图上Abelian沙堆模型的常返构型问题,证明了图的常返构型与子图的常返构型的关系.进一步地,将其应用到具体图类,得到单圈图、lollypop图、dumbbell图的常返构型。

英文摘要：

We study the recurrent configurations of the Abelian sandpile model on graphs.We prove that the relationship between the recurrent configurations of graphs and the recurrent configurations of its subgraphs.Then we apply our results to get the recurrent configurations on the unicyclic graphs,the lollypop graphs and the Dumbbell graphs.

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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575