The sandpile groups of graphs of classes CH_n (a_1, ..., a_n)
Combinatorics
2013-10-15 v1
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(a_1,...,a_n) is defined. Recurrent and non-recurrent formulas for calculating the sandpile groups of all graphs of classes CH_n (a_1, ..., a_n) are proposed.
Cite
@article{arxiv.1310.3490,
title = {The sandpile groups of graphs of classes CH_n (a_1, ..., a_n)},
author = {I. A. Krepkiy},
journal= {arXiv preprint arXiv:1310.3490},
year = {2013}
}