The structure of sandpile groups of outerplanar graphs

作者:

Highlights:

• We did a general review of the manuscript checking grammar and typos suggested by reviewers.

• We have added three SAGE codes suggested by Reviewer #1.

• Reviewer #1 suggested to include statistics comparing the codes with other computer algebra system. However, we consider that this goes beyond the aim of our manuscript since our objective is not focus on the performance of our algorithms, rather we are introducing a methodology to compute the algebraic and combinatorial structure of outerplanar graphs.

摘要

•We did a general review of the manuscript checking grammar and typos suggested by reviewers.•We have added three SAGE codes suggested by Reviewer #1.•Reviewer #1 suggested to include statistics comparing the codes with other computer algebra system. However, we consider that this goes beyond the aim of our manuscript since our objective is not focus on the performance of our algorithms, rather we are introducing a methodology to compute the algebraic and combinatorial structure of outerplanar graphs.

论文关键词:Sandpile group,Outerplanar graphs,Gröbner bases,Critical ideals,Spanning tree

论文评审过程:Received 2 July 2020, Revised 11 November 2020, Accepted 26 November 2020, Available online 21 December 2020, Version of Record 21 December 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125861