Tuesday, July 9, 2024

[DMANET] Graph Theory: 6th edition out, substantial additions and improvements

The 6th edition of my Springer Graduate Text, Graph Theory, is available electronically from

https://diestel-graph-theory.com/

The corresponding print edition will appear with Springer later this year - no idea how long they will take.

Quite a few things are new in this edition, including:

- Two new sections on how to apply the regularity lemma
(counting lemma, removal lemma, Szemerédi's theorem with proof of Roth's theorem)

- New chapter section on chi-boundedness

- Gallai's A-paths theorem

- Nash-Williams's cycle decomposition theorem for infinite graphs,
with proof from Laviolette's theorem

- New or substantially simplified proofs of...
- Lovász's perfect graph theorem
- Seymour's 6-flow theorem
- Turán's theorem
- Tutte's theorem about flow polynomials
- the Chvátal-Erdös theorem on Hamilton cycles
- the tree-of-tangles theorem for graph minors (two new proofs, one canonical)
- the 5-colour theorem :)

Reinhard Diestel


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