Luke Postle

Orcid: 0000-0002-5023-269X

According to our database1, Luke Postle authored at least 57 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2024
Edge-colouring graphs with local list sizes.
J. Comb. Theory B, March, 2024

Fractional coloring with local demands and applications to degree-sequence bounds on the independence number.
J. Comb. Theory B, 2024

Improving the Caro-Wei bound and applications to Turán stability.
Discret. Appl. Math., 2024

2023
An Improved Bound for the Linear Arboricity Conjecture.
Comb., June, 2023

On the Density of Critical Graphs with No Large Cliques.
Comb., February, 2023

Connectivity and choosability of graphs with no <i>K</i><sub><i>t</i></sub> minor.
J. Comb. Theory B, 2023

Local Hadwiger's Conjecture.
J. Comb. Theory B, 2023

2022
On Decidability of Hyperbolicity.
Comb., December, 2022

Asymptotically good edge correspondence colourings.
J. Graph Theory, 2022

Structure in sparse <i>k</i>-critical graphs.
J. Comb. Theory B, 2022

Triangle-free planar graphs with at most 64n0.731 3-colorings.
J. Comb. Theory B, 2022

Colouring graphs with sparse neighbourhoods: Bounds and applications.
J. Comb. Theory B, 2022

Bounding <i>χ</i> by a fraction of Δ for graphs without large cliques.
J. Comb. Theory B, 2022

The chromatic number of triangle-free hypergraphs.
CoRR, 2022

On the Density of C<sub>7</sub>-Critical Graphs.
Comb., 2022

2021
The list linear arboricity of graphs.
J. Graph Theory, 2021

3-List-coloring graphs of girth at least five on surfaces.
J. Comb. Theory B, 2021

Corrigendum to "A local epsilon version of Reed's Conjecture" [J. Combin. Theory Ser. B 141 (2020) 181-222].
J. Comb. Theory B, 2021

Progress towards Nash-Williams' conjecture on triangle decompositions.
J. Comb. Theory B, 2021

Bounding the number of cycles in a graph in terms of its degree sequence.
Eur. J. Comb., 2021

Reducing Linear Hadwiger's Conjecture to Coloring Small Graphs.
CoRR, 2021

2020
A local epsilon version of Reed's Conjecture.
J. Comb. Theory B, 2020

2019
Bounded diameter arboricity.
J. Graph Theory, 2019

On the clique number of the square of a line graph and its relation to maximum degree of the line graph.
J. Graph Theory, 2019

List coloring with requests.
J. Graph Theory, 2019

Planar graphs of girth at least five are square (Δ + 2)-choosable.
J. Comb. Theory B, 2019

Improved Bounds for Randomly Sampling Colorings via Linear Programming.
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2019

Linear-Time and Efficient Distributed Algorithms for List Coloring Graphs on Surfaces.
Proceedings of the 60th IEEE Annual Symposium on Foundations of Computer Science, 2019

2018
Exponentially many 4-list-colorings of triangle-free graphs on surfaces.
J. Graph Theory, 2018

Five-list-coloring graphs on surfaces III. One list of size one and one list of size two.
J. Comb. Theory B, 2018

Characterizing 4-critical graphs with Ore-degree at most seven.
J. Comb. Theory B, 2018

Correspondence coloring and its application to list-coloring planar graphs without cycles of lengths 4 to 8.
J. Comb. Theory B, 2018

Chromatic index determined by fractional chromatic index.
J. Comb. Theory B, 2018

Random 4-regular graphs have 3-star decompositions asymptotically almost surely.
Eur. J. Comb., 2018

Reconstruction of infinite matroids from their 3-connected minors.
Eur. J. Comb., 2018

Fractional coloring with local demands.
CoRR, 2018

Rapid mixing of Glauber dynamics for colorings below Vigoda's 11/6 threshold.
CoRR, 2018

2017
On the Minimum Edge-Density of 4-Critical Graphs of Girth Five.
J. Graph Theory, 2017

5-list-coloring planar graphs with distant precolored vertices.
J. Comb. Theory B, 2017

Modified linear programming and class 0 bounds for graph pebbling.
J. Comb. Optim., 2017

On the List Coloring Version of Reed's Conjecture.
Electron. Notes Discret. Math., 2017

On Star Decompositions of Random Regular Graphs.
Electron. Notes Discret. Math., 2017

On the minimum number of edges in triangle-free 5-critical graphs.
Eur. J. Comb., 2017

Density of 5/2-critical graphs.
Comb., 2017

2016
Five-list-coloring graphs on surfaces II. A linear bound for critical graphs in a disk.
J. Comb. Theory B, 2016

The structure of 2-separations of infinite matroids.
J. Comb. Theory B, 2016

Hyperbolic families and coloring graphs on surfaces.
CoRR, 2016

2015
Five-list-coloring graphs on surfaces I. Two lists of size two in planar graphs.
J. Comb. Theory B, 2015

On the Minimum Edge-Density of 5-Critical Triangle-Free Graphs.
Electron. Notes Discret. Math., 2015

2014
Pebbling Graphs of Fixed Diameter.
J. Graph Theory, 2014

2013
Pebbling Graphs of Diameter Three and Four.
J. Graph Theory, 2013

Sub-exponentially many 3-colorings of triangle-free planar graphs.
J. Comb. Theory B, 2013

2012
Five-coloring graphs on the Klein bottle.
J. Comb. Theory B, 2012

2011
Minor-minimal non-projective planar graphs with an internal 3-separation.
Electron. Notes Discret. Math., 2011

Decomposing infinite matroids into their 3-connected minors.
Electron. Notes Discret. Math., 2011

2009
Sub-Exponentially Many 3-Colorings of Triangle-Free Planar Graphs.
Electron. Notes Discret. Math., 2009

2008
Six-Critical Graphs on the Klein Bottle.
Electron. Notes Discret. Math., 2008


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