### Abstract

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.

Original language | English |
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Pages (from-to) | 109-120 |

Journal | Mathematics in Computer Science |

Volume | 6 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2012 |

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## Cite this

Jurrius, R. P. M. J. (2012). Relations between Möbius and coboundary polynomials.

*Mathematics in Computer Science*,*6*(2), 109-120. https://doi.org/10.1007/s11786-012-0117-6