Abstract: Recent work of Scott and Wilmer and of Woodroofe extends the Erdős–Ko–Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hilton–Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.Keywords: Hilton-Milner, exterior algebra, intersecting set systemPublished in RUP: 18.12.2025; Views: 141; Downloads: 6 Full text (246,00 KB)This document has more files! More...
Keywords: shellability, partitionability, relative simplicial complex, real projective plane, dunce hat, NP-completenessPublished in RUP: 18.11.2022; Views: 2215; Downloads: 0
Keywords: shelling, relative simplicial complex, NP-completenessPublished in RUP: 26.10.2021; Views: 3035; Downloads: 30 Full text (6,70 MB)This document has more files! More...
Keywords: simplicial complex, partitionability, Poincaré homology spherePublished in RUP: 18.10.2021; Views: 4057; Downloads: 19 Link to full textThis document has more files! More...
Keywords: shellability, computational complexity, simplicial complexPublished in RUP: 18.10.2021; Views: 2504; Downloads: 25 Link to full text
Keywords: lattice, probabilistic, zeta, group, prime, coset-likePublished in RUP: 04.08.2021; Views: 2617; Downloads: 25 Link to full textThis document has more files! More...
Keywords: subspace arrangement, unimodal, f-vectorPublished in RUP: 13.02.2019; Views: 2977; Downloads: 129 Full text (505,68 KB)This document has more files! More...
Keywords: commutative algebra, simplicial complex, Hochster's formula, shellability, collapsibilityPublished in RUP: 13.02.2019; Views: 3813; Downloads: 120 Full text (278,29 KB)This document has more files! More...
Keywords: GAP, computer algebra system, macOSPublished in RUP: 19.11.2018; Views: 2997; Downloads: 29 Link to full text
Keywords: subspace arrangement, independence polynomial, unimodalityPublished in RUP: 19.11.2018; Views: 2973; Downloads: 68 Link to full text