Papers and preprints (by topic)

Toggle list view: [sort by date].

Quantum graph theory

• Eric Culf, Josse van Dobben de Bruyn, Matthijs Vernooij, and Peter Zeman.
  Existence and nonexistence of commutativity gadgets for entangled CSPs.
  Preprint, arXiv:2509.07835.
• Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar, David E. Roberson, and Peter Zeman.
  Free inhomogeneous wreath product of compact quantum groups.
  Preprint, arXiv:2504.13826.
• Josse van Dobben de Bruyn, David E. Roberson, and Simon Schmidt.
  Asymmetric graphs with quantum symmetry.
  Proceedings of the London Mathematical Society, to appear.
  Links: preprint (arXiv).
• Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson, and Peter Zeman.
  Quantum automorphism groups of lexicographic products of graphs.
  Journal of the London Mathematical Society 111(4):#e70141, 2025.
  Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.
• Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson, Simon Schmidt, and Peter Zeman.
  Quantum automorphism groups of trees.
  Journal of Noncommutative Geometry, Online First articles, 2025.
  Links: Journal paper (DOI); preprint (arXiv).

Algebraic graph theory (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, arXiv:2112.04205.
• 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 44(4):2681–2699, 2022.
  Links: Journal paper (DOI); Conference paper (DOI)*; preprint (arXiv); MathSciNet; zbMATH.
  *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, pp. 384–396, Springer, Cham, 2020.
  
• 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 189:#105619, 2022.
  Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.
• Josse van Dobben de Bruyn and Dion Gijswijt.
  Treewidth is a lower bound on graph gonality.
  Algebraic Combinatorics 3(4):941–953, 2020.
  Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.

Functional analysis (ordered vector spaces, operator systems)

• Josse van Dobben de Bruyn.
  Tensor products of convex cones.
  Preprint, arXiv:2009.11843.
• Josse van Dobben de Bruyn.
  Representations and semisimplicity of ordered topological vector spaces.
  Preprint, arXiv:2009.11777.
• Josse van Dobben de Bruyn.
  The Archimedean order unitization of seminormed ordered vector spaces.
  Positivity, to appear.
  Links: preprint (arXiv).
• Josse van Dobben de Bruyn.
  Almost all positive continuous linear functionals can be extended.
  Positivity 26(1):#15, 2022.
  Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.

Extremal combinatorics (the slice rank polynomial method)

• 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.
  The Electronic Journal of Combinatorics 30(4):#P4.1, 2023.
  Links: Journal paper (DOI); preprint (arXiv); MathSciNet; zbMATH.

Theses

1. Josse van Dobben de Bruyn.
   Divisorial gonality of graphs, the slice rank polynomial method, and tensor products of convex cones.
   Doctoral dissertation, TU Delft, 2023.
   Links: University website (DOI); local copy.
2. Josse van Dobben de Bruyn.
   Connections between the general theories of ordered vector spaces and C*-Algebras.
   Master thesis, Universiteit Leiden, 2018.
   Links: University website (Handle); local copy.
3. Josse van Dobben de Bruyn.
   Reduced divisors and gonality in finite graphs.
   Bachelor thesis, Universiteit Leiden, 2012.
   Links: University website (Handle); local copy.

Supplementary materials and software

• Josse van Dobben de Bruyn, David E. Roberson, and Simon Schmidt.
  GAP code accompanying the paper “Asymmetric graphs with quantum symmetry”.
  Supplementary materials (2024). GitHub.
• 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.