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Sparse color-critical hypergraphs

✍ Scribed by H. L. Abbott; D. R. Hare


Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
502 KB
Volume
9
Category
Article
ISSN
0209-9683

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πŸ“œ SIMILAR VOLUMES


Sparse color-critical graphs and hypergr
✍ H. L. Abbott; B. Zhou; D. R. Hare πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 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)__

Color-critical graphs and hypergraphs wi
✍ H.L. Abbott; D.R. Hare; B. Zhou πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 378 KB

We give constructions of color-critical graphs and hypergraphs with no cycles of length 5 or shorter and with relatively few edges.