具有反射对称的图的临界群
Critical groups of graphs with reflective symmetry
摘要：
图的临界群是有限的阿贝尔群，其阶是图的生成林的个数。对于具有一定反射对称性的图G，我们推广了Ciucu-Yan-Zhang关于图G的生成树数的一个结果，将其解释为关于图G的临界群的结果.我们的结果采取的形式，一个确切的序列，并明确连接到自行车空间。
英文摘要：
The critical group of a graph is a finite abelian group whose order is the number of spanning forests of the graph. For a graph G with a certain reflective symmetry, we generalize a result of Ciucu-Yan-Zhang factorizing the spanning tree number of G by interpreting this as a result about the critical group of G. Our result takes the form of an exact sequence, and explicit connections to bicycle spaces are made.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
