论文标题
外平面图的沙珀斯组的结构
The structure of sandpile groups of outerplanar graphs
论文作者
论文摘要
我们通过评估弱双重偶发的临界理想的不确定性，在界限内部面部面部的循环的长度上，通过评估弱双重双重的临界理想的不确定，计算具有共同弱双重双重双重双重双重双重双重双重双重双重双重双重双重双重二元组的沙门群。这种方法使我们能够确定外平面图的沙珀斯组的代数结构，并可用于计算许多其他平面图家族的沙皮基团。最后，我们计算许多外平面图的双图的沙珀斯组的身份元素。
We compute the sandpile groups of families of planar graphs having a common weak dual by evaluating the indeterminates of the critical ideals of the weak dual at the lengths of the cycles bounding the interior faces. This method allow us to determine the algebraic structure of the sandpile groups of outerplanar graphs, and can be used to compute the sandpile groups of many other planar graph families. Finally, we compute the identity element for the sandpile groups of the dual graphs of many outerplane graphs.
