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Every rayless graph has an unfriendly partition

✍ Scribed by Henning Bruhn; Reinhard Diestel; Agelos Georgakopoulos; Philipp Sprüssel

Book ID
108120710
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
130 KB
Volume
34
Category
Article
ISSN
1571-0653

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## Abstract Chen et al., conjectured that for __r__≥3, the only connected graphs with maximum degree at most __r__ that are not equitably __r__‐colorable are __K__~__r, r__~ (for odd __r__) and __K__~__r__ + 1~. If true, this would be a joint strengthening of the Hajnal–Szemerédi theorem and Brooks