2021
DOI: 10.1007/s10623-021-00906-3
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Möbius and coboundary polynomials for matroids

Abstract: We study how some coefficients of two-variable coboundary polynomials can be derived from Betti numbers of Stanley–Reisner rings. We also explain how the connection with these Stanley–Reisner rings forces the coefficients of the two-variable coboundary polynomials and Möbius polynomials to satisfy certain universal equations.

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Cited by 1 publication
(2 citation statements)
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“…Corollary 61 [17,Corollary 21] For a matroid M = (E, ) and a subset X ⊂ E we have where L F (M * ) and L C (M) refer to the lattices of flats of M * and cycles of M, respectively.…”
Section: Remark 57mentioning
confidence: 99%
See 1 more Smart Citation
“…Corollary 61 [17,Corollary 21] For a matroid M = (E, ) and a subset X ⊂ E we have where L F (M * ) and L C (M) refer to the lattices of flats of M * and cycles of M, respectively.…”
Section: Remark 57mentioning
confidence: 99%
“…Theorem 35 [17,Theorem 2] Let M = (E, ) be a matroid on a finite set E and N i (M) the set of cycles of M of nullity i. Then Theorem 36 For a Gabidulin rank-metric code C we have that:…”
mentioning
confidence: 99%