Hamburg papers on
Normal trees, stars and combs: connectivity in infinite graphs
- Counterexamples regarding linked and lean tree-decompositions
(S. Albrechtsen, R. W. Jacobs, P. Knappe, M. Pitz), preprint 2024 ArXiv
- Linked tree-decompositions into finite graphs (S. Albrechtsen, R. W. Jacobs, P. Knappe, M.
Pitz), preprint 2024 ArXiv
- A representation theorem for end spaces of infinite graphs (J. Kurkofka and Max Pitz), preprint 2021. (ArXiv).
- Applications of order trees in infinite graphs (M. Pitz), Order (2022). (Journal).
- Quickly proving Diestel's normal spanning tree criterion (Max
Pitz), Electron. J. Comb. 28(3) (2021), P3.59. (ArXiv)
- Proof of Halin's normal spanning tree conjecture (Max Pitz),
Israel J. Math. 246 (2021), 353-370. (ArXiv)
- A new obstruction for normal spanning trees (Max Pitz),
Bull. London Math. Soc. 53
(2021) 1220-1227. (ArXiv)
- End-faithful spanning trees in graphs without normal spanning
trees (C. Bürger & J. Kurkofka), Journal of Graph Theory (2022); ArXiv
- Duality theorems for stars and combs I: Arbitrary stars and
combs (C. Bürger & J. Kurkofka), Journal of Graph Theory 99(4) (2022), 525-554; ArXiv
- Duality theorems for stars and combs II: Dominating stars and
dominated combs (C. Bürger & J. Kurkofka), Journal of Graph Theory 99(4) (2022), 555-572; ArXiv
- Duality theorems for stars and combs III: Undominated combs
(C. Bürger & J. Kurkofka), Journal of Graph Theory 100(1) (2022), 127-139; ArXiv
- Duality theorems for stars and combs IV: Undominating stars
(C. Bürger & J. Kurkofka), Journal of Graph Theory 100(1) (2022), 140-162; ArXiv
- A unified existence theorem for normal spanning trees (Max
Pitz), J. Combin. Theory (Series B), 145 (2020), 466-469. (ArXiv)
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Approximating infinite graphs by normal trees
(J. Kurkofka, R. Melcher and M. Pitz), J. Combin. Theory (Series B), 148 (2021), 173-183;
ArXiv
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Minimal obstructions for normal spanning trees
(N. Bowler, S. Geschke and M. Pitz),
Fund. Math. 241 (2018), 245–263;
PDF.
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A simple existence criterion for normal spanning trees in infinite graphs
(R. Diestel),
Electronic J. Comb. 23 (2016), #P2.33;
PDF
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Normal spanning trees, Aronszajn trees and excluded minors
(R. Diestel and I. Leader),
J. London Math. Soc. 63 (2001), 16-32;
PDF