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Bachelor thesis

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cc-by-nc-nd (c) Bernat Rovira Segú, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/196666

Outerplanar partial cubes

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Abstract

[en] The class of outerplanar graphs is minor-closed and can be characterized by two excluded minors: ${\mathbf{}}K_{4}$ and $K_{2,3}$ Partial cubes are a class of graphs with good metric properties and have two defined operations that transform a partial cube into a PC-minor. We will study the outerplanar partial cubes, which is a PC-minor-closed class. The main result is the characterization of the set of obstructions of the class of outerplanar partial cubes.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Kolja Knauer

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ROVIRA SEGÚ, Bernat. Outerplanar partial cubes. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/196666

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