It is known that, in general, the coboundary polynomial and the Möbius polynomial of a matroid do not determine each other. Less is known about more specific cases. In this paper, we will investigate if it is possible that the Möbius polynomial of a matroid, together with the Möbius 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.
|Number of pages||12|
|Journal||Mathematics in Computer Science|
|Publication status||Published - 1 Jun 2012|
- Matroid theory
- Möbius polynomial
- Coboundary polynomial
- Coding theory