Josse van Dobben de Bruyn

I am a PhD student in the group Discrete Mathematics & Optimization at TU Delft, under supervision of Dion Gijswijt. My main research interests are algebraic combinatorics and functional analysis.

Member of: DIAMANTKWGVierkant voor Wiskunde

Research

Gonality of graphs

• Josse van Dobben de Bruyn, David Holmes, and David van der Vorm,
Divisorial and geometric gonality of higher-rank tropical curves,
Preprint (2022), arxiv:2112.04205.
• Josse van Dobben de Bruyn, Harry Smit, and Marieke van der Wegen,
Discrete and metric divisorial gonality can be different,
Journal of Combinatorial Theory, Series A, vol. 189 (2022), article #105619.
Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.
• Hans L. Bodlaender, Josse van Dobben de Bruyn, Dion Gijswijt, and Harry Smit,
Constructing Tree Decompositions of Graphs with Bounded Gonality,
Journal of Combinatorial Optimization (2021), Online first articles.
Links: Journal paper (DOI); Conference paper (DOI)*; preprint (arXiv).
*A preliminary version appeared earlier as a conference paper in:
Donghyun Kim, R. N. Uma, Zhipeng Cai, and Dong Hoon Lee (editors),
Computing and Combinatorics, COCOON 2020,
Lecture Notes in Computer Science, vol. 12273 (2020), pp. 384–396, Springer, Cham.
• Josse van Dobben de Bruyn and Dion Gijswijt,
Treewidth is a Lower Bound on Graph Gonality,
Algebraic Combinatorics, vol. 3 (2020), issue 4, pp. 941–953.
Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.
• Josse van Dobben de Bruyn,
Reduced Divisors and Gonality in Finite Graphs,
Bachelor thesis (2012), Leiden University. Link.

The polynomial method in extremal combinatorics

• Josse van Dobben de Bruyn and Dion Gijswijt,
On the size of subsets of $$\mathbb{F}_q^n$$ avoiding solutions to linear systems with repeated columns,
Preprint (2021), arXiv:2111.09879.

Functional analysis

• Josse van Dobben de Bruyn,
The minimal Archimedean order unitization of seminormed ordered vector spaces,
Preprint (2022), arXiv:2204.13688.
• Josse van Dobben de Bruyn,
Tensor Products of Convex Cones, Part II: Closed Cones in Finite-Dimensional Spaces,
Preprint (2020), arXiv:2009.11843.
• Josse van Dobben de Bruyn,
Tensor Products of Convex Cones, Part I: Mapping Properties, Faces, and Semisimplicity,
Preprint (2020), arXiv:2009.11836.
• Josse van Dobben de Bruyn,
Representations and Semisimplicity of Ordered Topological Vector Spaces,
Preprint (2020), arXiv:2009.11777.
• Josse van Dobben de Bruyn,
Almost all positive continuous linear functionals can be extended,
Positivity, vol. 26 (2022), issue 1, article #15.
Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.
• Josse van Dobben de Bruyn,
Connections Between the General Theories of Ordered Vector Spaces and C*-Algebras,
Master thesis (2018), Leiden University. Link.

Supplementary materials and software

• Josse van Dobben de Bruyn, Harry Smit, and Marieke van der Wegen,
Code and figures to accompany the paper “Discrete and metric divisorial gonality can be different”,
Supplementary materials (2021). GitHub.
• Josse van Dobben de Bruyn, Harry Smit, and Marieke van der Wegen,
dgon-tools,
Software (2021). GitHub.