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1.
A Hilton–Milner theorem for exterior algebras
Denys Bulavka, Francesca Gandini, Russell Stephen Woodroofe, 2025, original scientific article

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 system
Published in RUP: 18.12.2025; Views: 141; Downloads: 6
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Shellings from relative shellings
Russell Stephen Woodroofe, Andrés Santamaría-Galvis, 2021, published scientific conference contribution abstract

Keywords: shelling, relative simplicial complex, NP-completeness
Published in RUP: 26.10.2021; Views: 3035; Downloads: 30
.pdf Full text (6,70 MB)
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4.
Particijska lastnost simplicialnih kompleksov : zaključna naloga
Eva Silađi, 2021, undergraduate thesis

Keywords: simplicial complex, partitionability, Poincaré homology sphere
Published in RUP: 18.10.2021; Views: 4057; Downloads: 19
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Verjetnostna zeta funkcija na končni mreži : zaključna naloga
Besfort Shala, 2021, undergraduate thesis

Keywords: lattice, probabilistic, zeta, group, prime, coset-like
Published in RUP: 04.08.2021; Views: 2617; Downloads: 25
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Arrangements and the independence polynomial
Russell Stephen Woodroofe, 2019, published scientific conference contribution abstract (invited lecture)

Keywords: subspace arrangement, unimodal, f-vector
Published in RUP: 13.02.2019; Views: 2977; Downloads: 129
.pdf Full text (505,68 KB)
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8.
Commutative algebra via simplicial combinatorics
Russell Stephen Woodroofe, 2019, published scientific conference contribution abstract (invited lecture)

Keywords: commutative algebra, simplicial complex, Hochster's formula, shellability, collapsibility
Published in RUP: 13.02.2019; Views: 3813; Downloads: 120
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9.
Gap.app v0.6 : nov. 2018
Russell Stephen Woodroofe, 2018, software

Keywords: GAP, computer algebra system, macOS
Published in RUP: 19.11.2018; Views: 2997; Downloads: 29
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