Wednesday, July 10, 2024

[DMANET] Access problems for Graph Theory, 6th edition

Apologies for this notice and re-post:

After submitting my DMANET post copied below, the service provider at

diestel-graph-theory.com

was hit by a SPAM attack, which has led to various university firewalls blocking the site. At my own university, security tells me that the ban will remain in force for 14 days!

If this has affected you too, please try again in a week or two. Sorry!!

RD, 10 July 2024


Yesterday's post:

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


**********************************************************
*
* Contributions to be spread via DMANET are submitted to
*
* DMANET@zpr.uni-koeln.de
*
* Replies to a message carried on DMANET should NOT be
* addressed to DMANET but to the original sender. The
* original sender, however, is invited to prepare an
* update of the replies received and to communicate it
* via DMANET.
*
* DISCRETE MATHEMATICS AND ALGORITHMS NETWORK (DMANET)
* http://www.zaik.uni-koeln.de/AFS/publications/dmanet/
*
**********************************************************