The sandpile groups of graphs of classes CH_n (a₁, ..., a_n)

2013/10/13 by I. A. Krepkiy, Krepkiy, I. A.
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1310.3490

openalex publication_date 2013/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article considers the procedure of connection of graphs to the edges of a cyclic graph and its influence on the sandpile group of the graph thus obtained. A series of classes of graphs CH_n(a₁,...,a_n) is defined. Recurrent and non-recurrent formulas for calculating the sandpile groups of all graphs of classes CH_n (a₁, ..., a_n) are proposed.

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