Freddie Illingworth

University of Oxford

United Kingdom

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Articles (18)

Year:

2025

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2025

In 2019, Dvořák asked whether every connected graph has a tree decomposition so that is a subgraph of and the width of is bounded by a function of the treewidth of . We prove that this is false, even when has treewidth 2 and is allowed to be a minor of .

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2024

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2024

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2024

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2024

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2024

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2024

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2024

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2024

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2024

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2023

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2023

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2022

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2022

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2022

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2021

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2021

Collaborators (3)

David Wood

MONASH UNIVERSITY

AUSTRALIA

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Tony Huynh

Assistant Professor

Università degli Studi di Roma La Sapienza

ITALY

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Rose McCarty

UNITED STATES

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Freddie Illingworth

Research Interests

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Articles (18)

Dominating Kt ${K}_{t}$‐Models

The structure and density of k$k$‐product‐free sets in the free semigroup and group

On tree decompositions whose trees are minors

Treewidth, Circle Graphs, and Circular Drawings

Chromatic number is not tournament-local

Defective coloring of hypergraphs

Product structure of graph classes with bounded treewidth

Flashes and Rainbows in Tournaments

Publisher Erratum: Flashes and Rainbows in Tournaments

Induced Subgraphs of Induced Subgraphs of Large Chromatic Number

Reconstructing a Point Set from a Random Subset of Its Pairwise Distances

Balancing Connected Colourings of Graphs

Minimum Degree Stability of H-Free Graphs

The chromatic profile of locally bipartite graphs

The $\chi$-Ramsey problem for triangle-free graphs

The chromatic profile of locally colourable graphs

The Chromatic Structure of Dense Graphs

Graphs with no Induced $K_{2, t}$

Collaborators (3)

David Wood

Tony Huynh

Rose McCarty

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