标题： Möbius与余边界多项式之间的关系 显示英文标题

标题： Relations between Möbius and coboundary polynomial

摘要： 已知一般来说，拟阵的上链多项式和莫比乌斯多项式不能相互确定。 对于更具体的情况，了解得较少。 在本文中，我们将尝试回答是否可能由拟阵的莫比乌斯多项式以及其对偶拟阵的莫比乌斯多项式来确定该拟阵的上链多项式。 在某些情况下，答案是肯定的，我们将给出两种构造方法来确定这些情况下的上链多项式。 显示英文摘要

摘要： It is known that, in general, the coboundary polynomial and the M\"obius polynomial of a matroid do not determine each other. Less is known about more specific cases. In this paper, we will try to answer if it is possible that the M\"obius polynomial of a matroid, together with the M\"obius polynomial of the dual matroid, define the coboundary polynomial of the matroid. In some cases, the answer is affirmative, and we will give two constructions to determine the coboundary polynomial in these cases.