| 若干图类的常返构型 |
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| 引用本文： | 吴晓霞,张莲珠.若干图类的常返构型[J].厦门大学学报(自然科学版),2012,51(3):297-301. |
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| 作者姓名： | 吴晓霞 张莲珠 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金项目，福建省自然科学基金项目，漳州师范学院博士科研启动基金项目 |
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| 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.
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| 关 键 词： | 图 常返构型 Abelian沙堆模型 |
The Recurrent Configurations on Some Graphs |
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| WU Xiao-xia
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ZHANG Lian-zhu.The Recurrent Configurations on Some Graphs[J].Journal of Xiamen University(Natural Science),2012,51(3):297-301. |
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| Authors: | WU Xiao-xia ZHANG Lian-zhu |
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| Institution: | 1.Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou 363000,China; 2.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China) |
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| Abstract: | 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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| Keywords: | graph recurrent configuration Abelian sandpile model |
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