单圈图上Ab elian沙堆模型的雪崩大小
단권도상Ab elian사퇴모형적설붕대소
Avalanche Sizes of the Ab elian Sandpile Mo del on Unicyclic Graphs
  • 万方数据
    数学研究 수학연구
    JOURNAL OF MATHEMATICAL STUDY
    2013年 4期 319-332 ,共14页

    吴晓霞%张莲珠%覃城阜%董哈微

    오효하%장련주%담성부%동합미

    沙堆模型%常返构型%雪崩大小 沙堆模型%常返構型%雪崩大小
    사퇴모형%상반구형%설붕대소
    Sandpile model%Recurrent configuration%Avalanche sizes
    研究图上Abelian沙堆模型问题.首先给出关于沙堆模型常返构型的极大雪崩序列，然后刻画了一些雪崩性质.基于这些性质，我们确定了单圈图的基本雪崩中每个顶点的topplings数及它的雪崩多项式，推广了R. Cori的结果.
    연구도상Abelian사퇴모형문제.수선급출관우사퇴모형상반구형적겁대설붕서렬，연후각화료일사설붕성질.기우저사성질，아문학정료단권도적기본설붕중매개정점적topplings수급타적설붕다항식，추엄료R. Cori적결과.
    We first give a definition of a maximal avalanche sequence for a configuration of the Abelian sandpile model and characterize some avalanche properties. Applying these properties to unicyclic graphs, we determine their number of topplings on each vertex in principal avalanches and avalanche polynomials of the Abelian sandpile model, which generalizes R. Cori’s results on cycles.
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