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Joshua Erde - Main |
About me |
Research |
Publications |
Teaching |
Institute
Preprints
(With
S. Diskin,
M. Kang and
M. Krivelevich) Percolation through Isoperimetry, submitted (arXiv).
(With
F. Lehner,
M. Kang,
D. Schmid and
B. Mohar) Catching a robber on a random k-uniform hypergraph, submitted (arXiv).
(With
S. Diskin,
M. Kang and
M. Krivelevich) Isoperimetric inequalities and supercritical percolation on high-dimensional product graphs, submitted (arXiv).
(With
O. Cooley,
T. Do and
M.Missethan) The emergence of a giant rainbow component, submitted (arXiv).
(With
S. Diskin,
M. Kang and
M. Krivelevich) Percolation on high-dimensional product graphs, submitted (arXiv).
-
(With N. Bowler,
C. Elbracht,
J. P. Gollin,
K. Heuer,
M. Pitz and
M. Teegen) Ubiquity of locally finite graphs with extensive tree-decompositions, submitted (arXiv).
Journal Articles
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(With
T. Do and
M. Kang) A note on the width of sparse random graphs, Journal of Graph Theory, to appear (arXiv).
(With
S. Diskin,
M. Kang and
M. Krivelevich) Percolation on irregular high-dimensional product graphs, Combinatorics, Probability and Computing, to appear (arXiv).
-
(With R. Diestel,
C. Elbracht and
M. Teegen) Duality and tangles of set separations, Journal of Combinatorics, Volume 15, Issue 1 2024(arXiv).
-
(With
T. Do,
M. Kang and
M. Missethan) Component behaviour and excess of random bipartite graphs near the critical point, Electronic Journal of Combinatorics, Volume 30, Issue 3, 2023 (Journal/arXiv).
-
(With
B. Barber,
P. Keevash and
A. Roberts) Isoperimetric stability in lattices, Proceedings of the American Mathematical Society, Volume 151 (Journal/arXiv).
(With N. Bowler,
C. Elbracht,
J. P. Gollin,
K. Heuer,
M. Pitz and
M. Teegen) Ubiquity of graphs with non-linear end structure, Journal of Graph Theory, Volume 103, Issue 3, 2023 (Journal/arXiv).
(With
M. Kang and
M. Krivelevich) Expansion in supercritical random subgraphs of the hypercube and its consequences, Annals of Probability, Volume 51, Issue 1, 2023 (Journal/arXiv).
- (With
F. Lehner) Hamiltonian decompositions of 4-regular Cayley graphs of infinite abelian groups, Journal of Graph Theory, Volume 101, Issue 3, 2022 (Journal/arXiv).
-
(With
T. Do and
M. Kang) Planarity and genus of sparse random bipartite graphs, SIAM Journal on Discrete Mathematics, Volume 36, Issue 2, 2022 (Journal/(arXiv).
(With N. Bowler,
C. Elbracht,
J. P. Gollin,
K. Heuer,
M. Pitz and
M. Teegen) Topological ubiquity of trees, Journal of Combinatorial Theory, Series B, Volume 157, 2022 (Journal/arXiv).
(With N. Bowler,
F. Lehner and
M. Pitz) Bounding the cop number of a graph by its genus, SIAM Journal on Discrete Mathematics, Volume 35, Issue 4, 2021 (Journal/arXiv).
-
(With
J. P. Gollin and
A. Joó) Enlarging vertex-flames in countable digraphs, Journal of Combinatorial Theory, Series B, Volume 151, 2021 (Journal/arXiv).
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(With J. P. Gollin,
A. Joó,
P. Knappe and
M. Pitz) Base partition for finitary-cofinitary matroid families, Combinatorica, Volume 41, 2021 (Journal/arXiv).
-
(With J. P. Gollin,
A. Joó,
P. Knappe and
M. Pitz) A Cantor-Bernstein-type theorem for spanning trees in infinite graphs, Journal of Combinatorial Theory, Series B, Volume 149, 2021 (Journal/arXiv).
(With
M. Kang and
M. Krivelevich) Large complete minors in random subgraphs, Combinatorics, Probability and Computing, Volume 30, Issue 4, 2021 (Journal/arXiv).
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Directed path-decompositions, SIAM Journal on Discrete Mathematics, Volume 34, Issue 1, 2020 (Journal/arXiv).
(with
F. Lehner and
M. Pitz)
Hamilton decompositions of one-ended Cayley graphs, Journal of Combinatorial Theory, Series B, Volume 140, 2020 (Journal/arXiv).
(With D. Weissauer) A short derivation of the structure theorem for graphs with excluded topological minors, SIAM Journal on Discrete Mathematics, Volume 33, Issue 3, 2019 (Journal/arXiv).
(With
R. Diestel and
D. Weissauer)
Structural submodularity and tangles in abstract separation systems, Journal of Combinatorial Theory, Series A, Volume 167, 2019 (Journal/arXiv).
(with
N. Bowler,
P. Heinig,
F. Lehner and
M. Pitz)
Non-reconstructible locally finite graphs, Journal of Combinatorial Theory, Series B, Volume 133, 2018 (Journal/arXiv).
(with
B. Barber)
Isoperimetry in integer lattices, Discrete Analysis, Volume 7, 2018 (Journal/arXiv).
A unified treatment of linked and lean tree-decompositions, Journal of Combinatorial Theory, Series B, Volume 130, 2018 (Journal/arXiv).
(with
N. Bowler,
F. Lehner,
M. Merker,
M. Pitz and
K. Stavropoulos)
A counterexample to Montgomery's conjecture on dynamic colourings of regular graphs, Discrete Applied Mathematics, Volume 229, 2017 (Journal/arXiv).
(with
N. Bowler,
P. Heinig,
F. Lehner and
M. Pitz)
A counterexample to the reconstruction conjecture for locally finite trees, The Bulletin of the London Mathematical Society, Volume 49, Issue 4, 2017 (Journal/arXiv).
(with
R. Diestel and
P. Eberenz)
Duality theorems for tangles in graphs, SIAM Journal on Discrete Mathematics, Volume 31, Issue 3, 2017 (Journal/arXiv).
Refining a tree-decomposition which distinguishes tangles, SIAM Journal on Discrete Mathematics, Volume 31, Issue 3, 2017 (Journal/arXiv).
(with
M. Walters)
An n-in-a-row type game, The Electronic Journal of Combinatorics, Volume 23, Issue 3, 2016 (Journal/arXiv).
An n-in-a-row game, Integers, Volume 15, 2015 (Journal/arXiv).
A note on the combinatorial derivation of non-small sets, New York Journal of Mathematics, Volume 20, 2014 (Journal/arXiv).
Decomposing the cube into paths, Discrete Mathematics, Volume 336, 2014 (Journal/arXiv).
(with
B. Golénia and
S. Golénia) The
closed knight tour problem in higher dimensions, The Electronic Journal of Combinatorics, Volume 19, Issue 4, 2012 (Journal/arXiv).
Theses
last modified 1 Jul 2023
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