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Academic Journal

Some Properties for the Product and Free Sum of Two Polytopes.

Authors : Salman, Shatha A.¹ ; Sadiq, Fatema A.¹ ; Al-Aabdeen, Viean A. Zain²

Subjects: *POLYNOMIALS; *POLYTOPES; *ALGORITHMS

Source: International Journal of Mathematics & Computer Science. 2022, Vol. 17 Issue 4, p1665-1675. 11p.

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Academic Journal

Extended formulations for stable set polytopes of graphs without two disjoint odd cycles.

Authors : Conforti, Michele¹ (AUTHOR); Fiorini, Samuel² (AUTHOR); Huynh, Tony³ (AUTHOR)

Subjects: *POLYTOPES; *POLYNOMIAL time algorithms; *GRAPH connectivity

Source: Mathematical Programming. Mar2022, Vol. 192 Issue 1/2, p547-566. 20p.

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Academic Journal

From Crossing-Free Graphs on Wheel Sets to Embracing Simplices and Polytopes with Few Vertices.

Authors : Pilz, Alexander¹ (AUTHOR); Welzl, Emo² (AUTHOR); Wettstein, Manuel² (AUTHOR)

Subjects: *POLYTOPES; *ALGORITHMS; *POINT set theory

Source: Discrete & Computational Geometry. Oct2020, Vol. 64 Issue 3, p1067-1097. 31p.

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Academic Journal

Polynomial size linear programs for problems in P.

Authors : Avis, David¹ (AUTHOR) ; Bremner, David² (AUTHOR) ; Tiwary, Hans Raj³ (AUTHOR)

Subjects: *POLYTOPES; *POLYNOMIALS; *UNDIRECTED graphsWORLD Economic Forum

Source: Discrete Applied Mathematics. Jul2019, Vol. 265, p22-39. 18p.

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Academic Journal

The minimum convex container of two convex polytopes under translations.

Authors : Ahn, Hee-Kap¹ ; Abardia, Judit² ; Bae, Sang Won^1,3

Subjects: *POLYTOPES; *CONVEX sets; *ALGORITHMS

Source: Computational Geometry. Mar2019, Vol. 77, p40-50. 11p.

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Academic Journal

Expected intrinsic volumes and facet numbers of random beta‐polytopes.

Authors : Kabluchko, Zakhar¹; Temesvari, Daniel²; Thäle, Christoph²

Subjects: *POLYTOPES; *ALGORITHMS; *GENE expression

Source: Mathematische Nachrichten. Jan2019, Vol. 292 Issue 1, p79-105. 27p.

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Academic Journal

The stable [formula omitted]-matching polytope revisited.

Authors : Eirinakis, Pavlos¹ ; Magos, Dimitrios² ; Mourtos, Ioannis³

Subjects: *POLYTOPES; *THEORY of constraints; *ALGORITHMS

Source: Discrete Applied Mathematics. Dec2018, Vol. 250, p186-201. 16p.

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Academic Journal

Enumeration of Lattice 3-Polytopes by Their Number of Lattice Points.

Authors : Blanco, Mónica¹ ; Santos, Francisco¹

Subjects: *LATTICE theory; *POLYTOPES; *ALGORITHMS

Source: Discrete & Computational Geometry. Oct2018, Vol. 60 Issue 3, p756-800. 45p.

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Academic Journal

Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations.

Authors : Lee, Jon¹ ; Skipper, Daphne² ; Speakman, Emily³

Subjects: *ALGORITHMS; *POLYTOPES; *HYPERSPACE

Source: Mathematical Programming. Jul2018, Vol. 170 Issue 1, p121-140. 20p.

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Academic Journal

Embedding Stacked Polytopes on a Polynomial-Size Grid.

Authors : Demaine, Erik¹ ; Schulz, André²

Subjects: *POLYTOPES; *POLYNOMIALS; *CONVEXITY spaces

Source: Discrete & Computational Geometry. Jun2017, Vol. 57 Issue 4, p782-809. 28p.

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