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1.
Regular antilattices
Karin Cvetko-Vah, Michael Kinyon, Jonathan Leech, Tomaž Pisanski, 2019, izvirni znanstveni članek

Opis: Antilattices ▫$(S; \vee, \wedge)$▫ for which the Green's equivalences ▫$\mathcal{L}_{(\vee)}$▫, ▫$\mathcal{R}_{(\vee)}$▫, ▫$\mathcal{L}_{(\wedge)}$▫ and ▫$\mathcal{R}_{(\wedge)}$▫ are all congruences of the entire antilattice are studied and enumerated.
Ključne besede: noncommutative lattice, antilattice, Green's equivalences, lattice of subvarieties, enumeration, partition, composition
Objavljeno v RUP: 03.01.2022; Ogledov: 1093; Prenosov: 16
.pdf Celotno besedilo (308,07 KB)

2.
Strong cliques and stable sets
Martin Milanič, 2021, samostojni znanstveni sestavek ali poglavje v monografski publikaciji

Ključne besede: strong clique, strong stable set, CIS graph, general partition graph, localizable graph
Objavljeno v RUP: 16.07.2021; Ogledov: 1072; Prenosov: 33
URL Povezava na celotno besedilo

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Lattices on simplicial partitions
Gašper Jaklič, Jernej Kozak, Marjetka Knez, Vito Vitrih, Emil Žagar, 2010, objavljeni znanstveni prispevek na konferenci

Opis: In this paper, a ▫$(d+1)$▫-pencil lattices on a simplex in ▫${\mathbb{R}}^d$▫ are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition, providing a continuous piecewise polynomial interpolant over the extended lattice. The number of degrees of freedom is equal to the number of vertices of the simplicial partition. The constructive proof of thisfact leads to an efficient computer algorithm for the design of a lattice.
Ključne besede: numerical analysis, lattice, barycentric coordinates, simplicial partition
Objavljeno v RUP: 03.04.2017; Ogledov: 2167; Prenosov: 135
URL Povezava na celotno besedilo

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