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A new estimate for the vertex number of an edge-regular graph

✍ Scribed by A. A. Makhnev; D. V. Paduchikh


Book ID
111708012
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
223 KB
Volume
48
Category
Article
ISSN
0037-4466

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The acyclic edge chromatic number of a r
✍ Jaroslav NeΕ‘etΕ™il; Nicholas C. Wormald πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 67 KB πŸ‘ 1 views

## Abstract We prove the theorem from the title: the acyclic edge chromatic number of a random __d__‐regular graph is asymptotically almost surely equal to __d__ + 1. This improves a result of Alon, Sudakov, and Zaks and presents further support for a conjecture that Ξ”(G) + 2 is the bound for the a