1. Regular antilatticesKarin 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: 514; Prenosov: 16
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5. Perfect phylogenies via branchings in acyclic digraphs and a generalization of Dilworth's theoremAdemir Hujdurović, Martin Milanič, Edin Husić, Romeo Rizzi, Alexandru I. Tomescu, 2017, objavljeni povzetek znanstvenega prispevka na konferenci Ključne besede: perfect phylogeny, NP-hard problem, branching, acyclic digraph, chain partition, Dilworth's theorem, min-max theorem, approximation algorithm, heuristic Objavljeno v RUP: 17.09.2018; Ogledov: 1515; Prenosov: 116
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6. Reconstructing perfect phylogenies via binary matrices, branchings in DAGs, and a generalization of Dilworth's theoremAdemir Hujdurović, Martin Milanič, Edin Husić, Romeo Rizzi, Alexandru I. Tomescu, 2018, objavljeni povzetek znanstvenega prispevka na konferenci Ključne besede: perfect phylogeny, NP-hard problem, branching, acyclic digraph, chain partition, Dilworth's theorem, min-max theorem, approximation algorithm, heuristic Objavljeno v RUP: 17.09.2018; Ogledov: 1497; Prenosov: 73
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7. Reconstructing perfect phylogenies via binary matrices, branchings in DAGs, and a generalization of Dilworth's theoremMartin Milanič, 2018, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje) Ključne besede: perfect phylogeny, NP-hard problem, graph coloring, branching, acyclic digraph, chain partition, Dilworth's theorem, min-max theorem, approximation algorithm, heuristic Objavljeno v RUP: 17.09.2018; Ogledov: 1493; Prenosov: 18
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8. Perfect phylogenies via branchings in acyclic digraphs and a generalization of Dilworth's theoremAdemir Hujdurović, Edin Husić, Martin Milanič, Romeo Rizzi, Alexandru I. Tomescu, 2018, izvirni znanstveni članek Ključne besede: perfect phylogeny, minimum conflict-free row split problem, branching, acyclic digraph, chain partition, Dilworth's theorem, min-max theorem, approximation algorithm, APXhardness Objavljeno v RUP: 08.05.2018; Ogledov: 1929; Prenosov: 152
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9. Lattices on simplicial partitionsGašper 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: 1814; Prenosov: 132
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