Spanning trees and recurrent configurations of a graph

Spanning trees and recurrent configurations of a graph
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图的生成树和循环配置

DOI:
10.1016/j.amc.2017.06.030
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发表时间:
2017-12
影响因子:
4
通讯作者:
Chen Haiyan
Chen Haiyan
中科院分区:
数学2区
文献类型:
--
作者:
Wu Xiaoxia;Zhang Lianzhu;Chen Haiyan

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A new explicit relationship between spanning trees and recurrent configurations of a graph is given by constructing subtree. Applying this relationship, we determine the total number of topplings in an avalanche. As applications, we calculate the sizes of avalanches of the Abelian sandpile model on the complete graph, the wheel and the complete bipartite graph.
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