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On the Chromatic Index of a Linear Hypergraph and the Chvátal Conjecture

✍ Scribed by C. BERGE


Book ID
119862994
Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
239 KB
Volume
555
Category
Article
ISSN
0890-6564

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On the Degree, Size, and Chromatic Index
✍ Noga Alon; Jeong Han Kim 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 274 KB

Let H be a k-uniform hypergraph in which no two edges share more than t common vertices, and let D denote the maximum degree of a vertex of H. We conjecture that for every =>0, if D is sufficiently large as a function of t, k, and =, then the chromatic index of H is at most (t&1+1Ât+=) D. We prove t