𝔖 Bobbio Scriptorium
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Hypergraphs with no cycle of length 4

✍ Scribed by Ervin Győri; Nathan Lemons


Book ID
113567363
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
183 KB
Volume
312
Category
Article
ISSN
0012-365X

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Sparse color-critical graphs and hypergr
✍ H. L. Abbott; B. Zhou; D. R. Hare 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 709 KB

## Abstract We give constructions of color‐critical graphs and hypergraphs with no short cycles and with relatively few edges. In particular, we show that, for each __n__ ≧ 3, the smallest number of edges in a 3‐critical triangle‐free __n__‐graph (hypergraph) with __m__ vertices is __m__ + __o(m)__